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22132248804 = 22325211180009
BaseRepresentation
bin10100100111001011…
…110101000011100100
32010010102201201201200
4110213023311003210
5330311323430204
614100054522500
71412313003501
oct244713650344
963112651650
1022132248804
119428094116
124358066430
132119377213
1410dd5684a8
15898053539
hex5272f50e4

22132248804 has 36 divisors (see below), whose sum is σ = 56052835020. Its totient is φ = 7363249920.

The previous prime is 22132248791. The next prime is 22132248821. The reversal of 22132248804 is 40884223122.

It can be written as a sum of positive squares in 2 ways, for example, as 7162236900 + 14970011904 = 84630^2 + 122352^2 .

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 571249 + ... + 608760.

It is an arithmetic number, because the mean of its divisors is an integer number (1557023195).

Almost surely, 222132248804 is an apocalyptic number.

It is an amenable number.

22132248804 is an abundant number, since it is smaller than the sum of its proper divisors (33920586216).

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

22132248804 is a wasteful number, since it uses less digits than its factorization.

22132248804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180540 (or 1180535 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22132248804 in words is "twenty-two billion, one hundred thirty-two million, two hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 1180009 2360018 3540027 4720036 7080054 10620081 14160108 21240162 42480324 614784689 1229569378 1844354067 2459138756 3688708134 5533062201 7377416268 11066124402 22132248804