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22172977152 = 211332811427
BaseRepresentation
bin10100101001100111…
…001100100000000000
32010020021100221112000
4110221213030200000
5330402240232102
614104111504000
71413316124154
oct245147144000
963207327460
1022172977152
119449081a07
124369828000
132124937431
141104b2b064
1589b8eb01c
hex5299cc800

22172977152 has 192 divisors, whose sum is σ = 65961604800. Its totient is φ = 7359528960.

The previous prime is 22172977139. The next prime is 22172977153. The reversal of 22172977152 is 25177927122.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×221729771522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22172977098 and 22172977107.

It is not an unprimeable number, because it can be changed into a prime (22172977153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15537463 + ... + 15538889.

It is an arithmetic number, because the mean of its divisors is an integer number (343550025).

Almost surely, 222172977152 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 22172977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32980802400).

22172977152 is an abundant number, since it is smaller than the sum of its proper divisors (43788627648).

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

22172977152 is a wasteful number, since it uses less digits than its factorization.

22172977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1713 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 22172977152 in words is "twenty-two billion, one hundred seventy-two million, nine hundred seventy-seven thousand, one hundred fifty-two".