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22146454100 = 22521811223561
BaseRepresentation
bin10100101000000010…
…000001001001010100
32010011102110102201202
4110220002001021110
5330323443012400
614101323212032
71412544516401
oct245002011124
963142412652
1022146454100
119435106831
124360977018
13211c2abc14
1411013c52a8
1589940c4d5
hex528081254

22146454100 has 36 divisors (see below), whose sum is σ = 48323357628. Its totient is φ = 8809632000.

The previous prime is 22146454091. The next prime is 22146454103. The reversal of 22146454100 is 145464122.

It can be written as a sum of positive squares in 6 ways, for example, as 11222859844 + 10923594256 = 105938^2 + 104516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22146454103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593681 + ... + 629880.

Almost surely, 222146454100 is an apocalyptic number.

22146454100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22146454100 is an abundant number, since it is smaller than the sum of its proper divisors (26176903528).

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

22146454100 is a wasteful number, since it uses less digits than its factorization.

22146454100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223756 (or 1223749 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 22146454100 in words is "twenty-two billion, one hundred forty-six million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 1223561 2447122 4894244 6117805 12235610 24471220 30589025 61178050 122356100 221464541 442929082 885858164 1107322705 2214645410 4429290820 5536613525 11073227050 22146454100