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225786528900 = 2232524723372
BaseRepresentation
bin1101001001000111101…
…1010000010010000100
3210120210110012002010100
43102101323100102010
512144402322411100
6251420324524100
722212125554362
oct3222173202204
9716713162110
10225786528900
1187834678009
1237913550630
13183a379caba
14acdcac8632
155d1720c400
hex3491ed0484

225786528900 has 243 divisors, whose sum is σ = 725245527279. Its totient is φ = 58753820160.

The previous prime is 225786528893. The next prime is 225786528941. The reversal of 225786528900 is 9825687522.

It is a happy number.

The square root of 225786528900 is 475170.

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

225786528900 is a `hidden beast` number, since 2 + 2 + 578 + 65 + 2 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31263190596 + 194523338304 = 176814^2 + 441048^2 .

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, 669989532 + ... + 669989868.

Almost surely, 2225786528900 is an apocalyptic number.

225786528900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225786528900 is the 475170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225786528900

225786528900 is an abundant number, since it is smaller than the sum of its proper divisors (499458998379).

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

225786528900 is a wasteful number, since it uses less digits than its factorization.

225786528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 225786528900 in words is "two hundred twenty-five billion, seven hundred eighty-six million, five hundred twenty-eight thousand, nine hundred".