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23122420440 = 2335744362137
BaseRepresentation
bin10101100010001101…
…000010001011011000
32012200102220122212020
4111202031002023120
5334323314423230
614342225414440
71445665221330
oct254215021330
965612818766
1023122420440
119896004789
12459379a420
1322465529b2
141194c780c0
15904e42810
hex5623422d8

23122420440 has 128 divisors (see below), whose sum is σ = 79457103360. Its totient is φ = 5273109504.

The previous prime is 23122420411. The next prime is 23122420483. The reversal of 23122420440 is 4402422132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23122420440.

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, 341052 + ... + 403188.

It is an arithmetic number, because the mean of its divisors is an integer number (620758620).

Almost surely, 223122420440 is an apocalyptic number.

23122420440 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 23122420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39728551680).

23122420440 is an abundant number, since it is smaller than the sum of its proper divisors (56334682920).

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

23122420440 is a wasteful number, since it uses less digits than its factorization.

23122420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62601 (or 62597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23122420440 its reverse (4402422132), we get a palindrome (27524842572).

The spelling of 23122420440 in words is "twenty-three billion, one hundred twenty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 443 840 886 1329 1772 2215 2658 3101 3544 4430 5316 6202 6645 8860 9303 10632 12404 13290 15505 17720 18606 24808 26580 31010 37212 46515 53160 62020 62137 74424 93030 124040 124274 186060 186411 248548 310685 372120 372822 434959 497096 621370 745644 869918 932055 1242740 1304877 1491288 1739836 1864110 2174795 2485480 2609754 3479672 3728220 4349590 5219508 6524385 7456440 8699180 10439016 13048770 17398360 26097540 27526691 52195080 55053382 82580073 110106764 137633455 165160146 192686837 220213528 275266910 330320292 385373674 412900365 550533820 578060511 660640584 770747348 825800730 963434185 1101067640 1156121022 1541494696 1651601460 1926868370 2312242044 2890302555 3303202920 3853736740 4624484088 5780605110 7707473480 11561210220 23122420440