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226528402500 = 2232541921672
BaseRepresentation
bin1101001011111000100…
…1010001110001000100
3210122201011011011101100
43102332021101301010
512202412232340000
6252022105500100
722236404436231
oct3227611216104
9718634134340
10226528402500
1188085417694
1237a9baa1630
13184913b076a
14ad6d442788
155d5c401a00
hex34be251c44

226528402500 has 405 divisors, whose sum is σ = 759728876907. Its totient is φ = 56885544000.

The previous prime is 226528402487. The next prime is 226528402523. The reversal of 226528402500 is 5204825622.

The square root of 226528402500 is 475950.

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

226528402500 is a `hidden beast` number, since 2 + 26 + 52 + 84 + 0 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17759826756 + 208768575744 = 133266^2 + 456912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 1356457417 + ... + 1356457583.

Almost surely, 2226528402500 is an apocalyptic number.

226528402500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226528402500 is the 475950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226528402500

226528402500 is an abundant number, since it is smaller than the sum of its proper divisors (533200474407).

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

226528402500 is a wasteful number, since it uses less digits than its factorization.

226528402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 226528402500 by its sum of digits (36), we get a square (8155022490000 = 28557002).

226528402500 divided by its sum of digits (36) gives a square (6292455625 = 793252).

The spelling of 226528402500 in words is "two hundred twenty-six billion, five hundred twenty-eight million, four hundred two thousand, five hundred".