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22225892004 = 22321736316817
BaseRepresentation
bin10100101100110001…
…000011001010100100
32010100221221022001100
4110230301003022210
5331004312021004
614113242000100
71414530651651
oct245461031244
963327838040
1022225892004
119475a33698
1243834a6030
1321328a34b4
14110bb82c28
158a139e739
hex52cc432a4

22225892004 has 36 divisors (see below), whose sum is σ = 59486947884. Its totient is φ = 6972828672.

The previous prime is 22225891997. The next prime is 22225892011. The reversal of 22225892004 is 40029852222.

It is an interprime number because it is at equal distance from previous prime (22225891997) and next prime (22225892011).

It can be written as a sum of positive squares in 2 ways, for example, as 8688104100 + 13537787904 = 93210^2 + 116352^2 .

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

It is a super-2 number, since 2×222258920042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22225892004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18157797 + ... + 18159020.

It is an arithmetic number, because the mean of its divisors is an integer number (1652415219).

Almost surely, 222225892004 is an apocalyptic number.

It is an amenable number.

22225892004 is an abundant number, since it is smaller than the sum of its proper divisors (37261055880).

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

22225892004 is a wasteful number, since it uses less digits than its factorization.

22225892004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36316844 (or 36316839 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22225892004 in words is "twenty-two billion, two hundred twenty-five million, eight hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 36316817 72633634 108950451 145267268 217900902 326851353 435801804 617385889 653702706 1234771778 1307405412 1852157667 2469543556 3704315334 5556473001 7408630668 11112946002 22225892004