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22960100 = 2252229601
BaseRepresentation
bin101011110010…
…1011111100100
31121012111100002
41113211133210
521334210400
62140040432
7366105032
oct127453744
947174302
1022960100
1111a62299
127833118
1349ab877
143099552
152037ed5
hex15e57e4

22960100 has 18 divisors (see below), whose sum is σ = 49823634. Its totient is φ = 9184000.

The previous prime is 22960099. The next prime is 22960109. The reversal of 22960100 is 106922.

It can be written as a sum of positive squares in 3 ways, for example, as 5837056 + 17123044 = 2416^2 + 4138^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22960109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114701 + ... + 114900.

Almost surely, 222960100 is an apocalyptic number.

22960100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22960100 is an abundant number, since it is smaller than the sum of its proper divisors (26863534).

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

22960100 is a wasteful number, since it uses less digits than its factorization.

22960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229615 (or 229608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 22960100 is about 4791.6698550714. The cubic root of 22960100 is about 284.2221530993. Note that the first 3 decimals are identical.

The spelling of 22960100 in words is "twenty-two million, nine hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229601 459202 918404 1148005 2296010 4592020 5740025 11480050 22960100