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205223496256 = 2617233312
BaseRepresentation
bin1011111100100001000…
…1100000101001000000
3201121201101012210021201
42333020101200221000
511330244203340011
6234140043430544
720553425636032
oct2771021405100
9647641183251
10205223496256
117a04234a259
1233934b25454
131647757096c
149d0bb1dc52
155511d26cc1
hex2fc8460a40

205223496256 has 63 divisors (see below), whose sum is σ = 432734739177. Its totient is φ = 96546769920.

The previous prime is 205223496253. The next prime is 205223496299. The reversal of 205223496256 is 652694322502.

The square root of 205223496256 is 453016.

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

It can be written as a sum of positive squares in only one way, i.e., 159776078400 + 45447417856 = 399720^2 + 213184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205223496253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61608511 + ... + 61611841.

Almost surely, 2205223496256 is an apocalyptic number.

205223496256 is the 453016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205223496256

205223496256 is an abundant number, since it is smaller than the sum of its proper divisors (227511242921).

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

205223496256 is an frugal number, since it uses more digits than its factorization.

205223496256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 205223496256 in words is "two hundred five billion, two hundred twenty-three million, four hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 3331 4624 6662 9248 13324 18496 26648 53296 56627 106592 113254 213184 226508 453016 906032 962659 1812064 1925318 3624128 3850636 7701272 11095561 15402544 22191122 30805088 44382244 61610176 88764488 177528976 188624537 355057952 377249074 710115904 754498148 1508996296 3017992592 3206617129 6035985184 6413234258 12071970368 12826468516 25652937032 51305874064 102611748128 205223496256