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22323104214000 = 2435311873134387
BaseRepresentation
bin1010001001101100000001…
…01100100110101111110000
32221001001211111220001200120
411010312000230212233300
510411220204134322000
6115251031551450240
74462535222024652
oct504660054465760
987031744801616
1022323104214000
1171271a2404057
12260644a526980
13c5c0a11c3745
145726305086d2
1528aa1da6a6a0
hex144d80b26bf0

22323104214000 has 160 divisors (see below), whose sum is σ = 72030342548736. Its totient is φ = 5947810873600.

The previous prime is 22323104213989. The next prime is 22323104214011. The reversal of 22323104214000 is 41240132322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22323104213989) and next prime (22323104214011).

It is a super-3 number, since 3×223231042140003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5554807 + ... + 8689193.

Almost surely, 222323104214000 is an apocalyptic number.

22323104214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323104214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015171274368).

22323104214000 is an abundant number, since it is smaller than the sum of its proper divisors (49707238334736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22323104214000 is a wasteful number, since it uses less digits than its factorization.

22323104214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135600 (or 3135584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22323104214000 its reverse (41240132322), we get a palindrome (22364344346322).

The spelling of 22323104214000 in words is "twenty-two trillion, three hundred twenty-three billion, one hundred four million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1187 1200 1500 2000 2374 3000 3561 4748 5935 6000 7122 9496 11870 14244 17805 18992 23740 28488 29675 35610 47480 56976 59350 71220 89025 94960 118700 142440 148375 178050 237400 284880 296750 356100 445125 474800 593500 712200 890250 1187000 1424400 1780500 2374000 3134387 3561000 6268774 7122000 9403161 12537548 15671935 18806322 25075096 31343870 37612644 47015805 50150192 62687740 75225288 78359675 94031610 125375480 150450576 156719350 188063220 235079025 250750960 313438700 376126440 391798375 470158050 626877400 752252880 783596750 940316100 1175395125 1253754800 1567193500 1880632200 2350790250 3134387000 3720517369 3761264400 4701580500 6268774000 7441034738 9403161000 11161552107 14882069476 18602586845 18806322000 22323104214 29764138952 37205173690 44646208428 55807760535 59528277904 74410347380 89292416856 93012934225 111615521070 148820694760 178584833712 186025868450 223231042140 279038802675 297641389520 372051736900 446462084280 465064671125 558077605350 744103473800 892924168560 930129342250 1116155210700 1395194013375 1488206947600 1860258684500 2232310421400 2790388026750 3720517369000 4464620842800 5580776053500 7441034738000 11161552107000 22323104214000