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22155152004 = 22323716632997
BaseRepresentation
bin10100101000100011…
…001100101010000100
32010012000211100000100
4110220203030222010
5330333204331004
614102233444100
71413011453616
oct245043145204
963160740010
1022155152004
11943a007687
124363870630
132121035bcb
14110260adb6
1589a079739
hex5288cca84

22155152004 has 36 divisors (see below), whose sum is σ = 57516907084. Its totient is φ = 7185454272.

The previous prime is 22155151981. The next prime is 22155152057. The reversal of 22155152004 is 40025155122.

It can be written as a sum of positive squares in 2 ways, for example, as 9780814404 + 12374337600 = 98898^2 + 111240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 8315167 + ... + 8317830.

Almost surely, 222155152004 is an apocalyptic number.

It is an amenable number.

22155152004 is an abundant number, since it is smaller than the sum of its proper divisors (35361755080).

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

22155152004 is a wasteful number, since it uses less digits than its factorization.

22155152004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16633044 (or 16633039 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 22155152004 in words is "twenty-two billion, one hundred fifty-five million, one hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 16632997 33265994 49898991 66531988 99797982 149696973 199595964 299393946 598787892 615420889 1230841778 1846262667 2461683556 3692525334 5538788001 7385050668 11077576002 22155152004