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22140501072 = 24317313072851
BaseRepresentation
bin10100100111101011…
…010011110001010000
32010011000020222201020
4110213223103301100
5330320432013242
614100551435440
71412443103544
oct244753236120
963130228636
1022140501072
119431810178
12435a985b80
13211aca6411
1411006b5a24
15898b336ec
hex527ad3c50

22140501072 has 160 divisors (see below), whose sum is σ = 62739984384. Its totient is φ = 6697728000.

The previous prime is 22140500999. The next prime is 22140501107. The reversal of 22140501072 is 27010504122.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7764447 + ... + 7767297.

Almost surely, 222140501072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31369992192).

22140501072 is an abundant number, since it is smaller than the sum of its proper divisors (40599483312).

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

22140501072 is a wasteful number, since it uses less digits than its factorization.

22140501072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

It can be divided in two parts, 2214050 and 1072, that added together give a palindrome (2215122).

The spelling of 22140501072 in words is "twenty-two billion, one hundred forty million, five hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 307 372 408 496 527 614 744 816 921 1054 1228 1488 1581 1842 2108 2456 2851 3162 3684 4216 4912 5219 5702 6324 7368 8432 8553 9517 10438 11404 12648 14736 15657 17106 19034 20876 22808 25296 28551 31314 34212 38068 41752 45616 48467 57102 62628 68424 76136 83504 88381 96934 114204 125256 136848 145401 152272 161789 176762 193868 228408 250512 265143 290802 323578 353524 387736 456816 485367 530286 581604 647156 707048 775472 875257 970734 1060572 1163208 1294312 1414096 1502477 1750514 1941468 2121144 2326416 2588624 2625771 3004954 3501028 3882936 4242288 4507431 5251542 6009908 7002056 7765872 9014862 10503084 12019816 14004112 14879369 18029724 21006168 24039632 27132967 29758738 36059448 42012336 44638107 54265934 59517476 72118896 81398901 89276214 108531868 119034952 162797802 178552428 217063736 238069904 325595604 357104856 434127472 461260439 651191208 714209712 922520878 1302382416 1383781317 1845041756 2767562634 3690083512 5535125268 7380167024 11070250536 22140501072