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22051544243440 = 24519293761133013
BaseRepresentation
bin1010000001110010001100…
…11101100001110011110000
32220002002220000220020000011
411000321012131201303300
510342243030311242230
6114522201203104304
74434112552251115
oct500710635416360
986062800806004
1022051544243440
11703200992a918
1225818a1672094
13c3c5b44cb22a
1456342c57a90c
15283928091e2a
hex140e46761cf0

22051544243440 has 160 divisors (see below), whose sum is σ = 55844491348800. Its totient is φ = 8066017935360.

The previous prime is 22051544243429. The next prime is 22051544243473. The reversal of 22051544243440 is 4434244515022.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22051544243393 and 22051544243402.

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, 165718374 + ... + 165851386.

It is an arithmetic number, because the mean of its divisors is an integer number (349028070930).

Almost surely, 222051544243440 is an apocalyptic number.

22051544243440 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 22051544243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27922245674400).

22051544243440 is an abundant number, since it is smaller than the sum of its proper divisors (33792947105360).

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

22051544243440 is a wasteful number, since it uses less digits than its factorization.

22051544243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136835 (or 136829 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 22051544243440 its reverse (4434244515022), we get a palindrome (26485788758462).

The spelling of 22051544243440 in words is "twenty-two trillion, fifty-one billion, five hundred forty-four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 3761 4408 5510 7522 8816 11020 15044 18805 22040 30088 37610 44080 60176 71459 75220 109069 133013 142918 150440 218138 266026 285836 300880 357295 436276 532052 545345 571672 665065 714590 872552 1064104 1090690 1143344 1330130 1429180 1745104 2072311 2128208 2181380 2527247 2660260 2858360 3857377 4144622 4362760 5054494 5320520 5716720 7714754 8289244 8725520 10108988 10361555 10641040 12636235 15429508 16578488 19286885 20217976 20723110 25272470 30859016 33156976 38573770 40435952 41446220 50544940 61718032 73290163 77147540 82892440 101089880 146580326 154295080 165784880 202179760 293160652 308590160 366450815 500261893 586321304 732901630 1000523786 1172642608 1465803260 2001047572 2501309465 2931606520 4002095144 5002618930 5863213040 8004190288 9504975967 10005237860 14507594897 19009951934 20010475720 29015189794 38019903868 40020951440 47524879835 58030379588 72537974485 76039807736 95049759670 116060759176 145075948970 152079615472 190099519340 232121518352 275644303043 290151897940 380199038680 551288606086 580303795880 760398077360 1102577212172 1160607591760 1378221515215 2205154424344 2756443030430 4410308848688 5512886060860 11025772121720 22051544243440