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22160311472112 = 24311661529711987
BaseRepresentation
bin1010000100111100110010…
…11111100100111111110000
32220110111122012121221000220
411002132121133210333300
510401033304214101422
6115044150114213040
74445013114403062
oct502363137447760
986414565557026
1022160311472112
117074154120650
12259a997584180
13c4992949b438
145687c9b3d732
15286691d28e5c
hex1427997e4ff0

22160311472112 has 160 divisors (see below), whose sum is σ = 62563294335744. Its totient is φ = 6703261593600.

The previous prime is 22160311472029. The next prime is 22160311472149. The reversal of 22160311472112 is 21127411306122.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1848689383 + ... + 1848701369.

Almost surely, 222160311472112 is an apocalyptic number.

22160311472112 is a gapful number since it is divisible by the number (22) 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 22160311472112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31281647167872).

22160311472112 is an abundant number, since it is smaller than the sum of its proper divisors (40402982863632).

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

22160311472112 is a wasteful number, since it uses less digits than its factorization.

22160311472112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17961 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 22160311472112 its reverse (21127411306122), we get a palindrome (43287722778234).

The spelling of 22160311472112 in words is "twenty-two trillion, one hundred sixty billion, three hundred eleven million, four hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 661 1322 1983 2644 3966 5288 5297 7271 7932 10576 10594 11987 14542 15864 15891 21188 21813 23974 29084 31728 31782 35961 42376 43626 47948 58168 58267 63564 71922 84752 87252 95896 116336 116534 127128 131857 143844 174504 174801 191792 233068 254256 263714 287688 349008 349602 395571 466136 527428 575376 699204 791142 932272 1054856 1398408 1582284 2109712 2796816 3164568 3501317 6329136 7002634 7923407 10503951 14005268 15846814 21007902 23770221 28010536 31693628 38514487 42015804 47540442 56021072 63387256 63495139 77028974 84031608 87157477 95080884 115543461 126774512 126990278 154057948 168063216 174314954 190161768 190485417 231086922 253980556 261472431 308115896 348629908 380323536 380970834 462173844 507961112 522944862 616231792 697259816 698446529 761941668 924347688 1015922224 1045889724 1394519632 1396893058 1523883336 1848695376 2091779448 2095339587 2793786116 3047766672 4183558896 4190679174 5587572232 8381358348 11175144464 16762716696 33525433392 41970286879 83940573758 125910860637 167881147516 251821721274 335762295032 461673155669 503643442548 671524590064 923346311338 1007286885096 1385019467007 1846692622676 2014573770192 2770038934014 3693385245352 5540077868028 7386770490704 11080155736056 22160311472112