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22129554090436 = 221321722923672
BaseRepresentation
bin1010000100000011100000…
…01101011110100111000100
32220100120020200012001022121
411002001300031132213010
510400032311321343221
6115022102104535324
74442543660102302
oct502016015364704
986316220161277
1022129554090436
117062100405551
122594a32a81544
13c46a67225a00
1456710cca1272
15285991995a41
hex14207035e9c4

22129554090436 has 243 divisors, whose sum is σ = 46261824721749. Its totient is φ = 9256070992896.

The previous prime is 22129554090403. The next prime is 22129554090473. The reversal of 22129554090436 is 63409045592122.

It is a happy number.

The square root of 22129554090436 is 4704206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12625898250436 + 9503655840000 = 3553294^2 + 3082800^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60298512325 + ... + 60298512691.

Almost surely, 222129554090436 is an apocalyptic number.

22129554090436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22129554090436 is the 4704206-th square number.

It is an amenable number.

22129554090436 is an abundant number, since it is smaller than the sum of its proper divisors (24132270631313).

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

22129554090436 is a wasteful number, since it uses less digits than its factorization.

22129554090436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 22129554090436 in words is "twenty-two trillion, one hundred twenty-nine billion, five hundred fifty-four million, ninety thousand, four hundred thirty-six".