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22364650900 = 22521713155677
BaseRepresentation
bin10100110101000010…
…010111110110010100
32010201122000222110201
4110311002113312110
5331300322312100
614135120030244
71421134252564
oct246502276624
963648028421
1022364650900
119537298269
124401a62384
132155567957
141122382da4
158ad65d36a
hex535097d94

22364650900 has 36 divisors (see below), whose sum is σ = 51386078268. Its totient is φ = 8419632640.

The previous prime is 22364650879. The next prime is 22364650933. The reversal of 22364650900 is 905646322.

It can be written as a sum of positive squares in 6 ways, for example, as 928177156 + 21436473744 = 30466^2 + 146412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22364650900.

It is a congruent number.

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, 6576139 + ... + 6579538.

It is an arithmetic number, because the mean of its divisors is an integer number (1427391063).

Almost surely, 222364650900 is an apocalyptic number.

22364650900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22364650900 is an abundant number, since it is smaller than the sum of its proper divisors (29021427368).

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

22364650900 is a wasteful number, since it uses less digits than its factorization.

22364650900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155708 (or 13155701 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 22364650900 in words is "twenty-two billion, three hundred sixty-four million, six hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13155677 26311354 52622708 65778385 131556770 223646509 263113540 328891925 447293018 657783850 894586036 1118232545 1315567700 2236465090 4472930180 5591162725 11182325450 22364650900