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22145462306112 = 263735717276371
BaseRepresentation
bin1010000100100001001000…
…11010100000010101000000
32220102002022100022010200210
411002100210122200111000
510400312401322243422
6115033252425114120
74443646125515655
oct502204432402500
986362270263623
1022145462306112
117068924160432
122597b32628940
13c48400c83a92
14567bbb97dc2c
152860c33ab10c
hex1424246a0540

22145462306112 has 112 divisors (see below), whose sum is σ = 59406453248832. Its totient is φ = 7279400079360.

The previous prime is 22145462306081. The next prime is 22145462306197. The reversal of 22145462306112 is 21160326454122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79991287 + ... + 80267657.

Almost surely, 222145462306112 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 22145462306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29703226624416).

22145462306112 is an abundant number, since it is smaller than the sum of its proper divisors (37260990942720).

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

22145462306112 is a wasteful number, since it uses less digits than its factorization.

22145462306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282176 (or 282166 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 22145462306112 in words is "twenty-two trillion, one hundred forty-five billion, four hundred sixty-two million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 5717 7008 11434 14016 17151 22868 34302 45736 68604 91472 137208 182944 274416 276371 365888 417341 548832 552742 829113 834682 1097664 1105484 1252023 1658226 1669364 2210968 2504046 3316452 3338728 4421936 5008092 6632904 6677456 8843872 10016184 13265808 13354912 17687744 20032368 20175083 26531616 26709824 40064736 40350166 53063232 60525249 80129472 80700332 121050498 161400664 242100996 322801328 484201992 645602656 968403984 1291205312 1580013007 1936807968 3160026014 3873615936 4740039021 6320052028 9480078042 12640104056 18960156084 25280208112 37920312168 50560416224 75840624336 101120832448 115340949511 151681248672 230681899022 303362497344 346022848533 461363798044 692045697066 922727596088 1384091394132 1845455192176 2768182788264 3690910384352 5536365576528 7381820768704 11072731153056 22145462306112