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22120209938976 = 253230418853531
BaseRepresentation
bin1010000011110010000110…
…10000010111101000100000
32220022200010110111222020220
411001321003100113220200
510344404142221021401
6115013514551203040
74442063265113232
oct501710320275040
986280113458226
1022120209938976
117059145924226
122593065676480
13c45c083895c6
145668a3ca2252
152855e6488336
hex141e43417a20

22120209938976 has 24 divisors (see below), whose sum is σ = 58065551090064. Its totient is φ = 7373403312960.

The previous prime is 22120209938969. The next prime is 22120209938977. The reversal of 22120209938976 is 67983990202122.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×221202099389762 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22120209938977) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 115209426670 + ... + 115209426861.

It is an arithmetic number, because the mean of its divisors is an integer number (2419397962086).

Almost surely, 222120209938976 is an apocalyptic number.

It is an amenable number.

22120209938976 is an abundant number, since it is smaller than the sum of its proper divisors (35945341151088).

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

22120209938976 is a wasteful number, since it uses less digits than its factorization.

22120209938976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230418853544 (or 230418853536 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 22120209938976 in words is "twenty-two trillion, one hundred twenty billion, two hundred nine million, nine hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 230418853531 460837707062 691256560593 921675414124 1382513121186 1843350828248 2765026242372 3686701656496 5530052484744 7373403312992 11060104969488 22120209938976