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225773874 = 23229617701
BaseRepresentation
bin11010111010100…
…00100100110010
3120201211111112100
431131100210302
5430244230444
634223041230
75411021604
oct1535204462
9521744470
10225773874
11106497287
1263740216
1337a0c811
1421db1174
1514c4ae69
hexd750932

225773874 has 48 divisors (see below), whose sum is σ = 507588120. Its totient is φ = 72441600.

The previous prime is 225773857. The next prime is 225773879. The reversal of 225773874 is 478377522.

225773874 is a `hidden beast` number, since 2 + 2 + 577 + 3 + 8 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176703849 + 49070025 = 13293^2 + 7005^2 .

It is not an unprimeable number, because it can be changed into a prime (225773879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321724 + ... + 322424.

Almost surely, 2225773874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225773874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253794060).

225773874 is an abundant number, since it is smaller than the sum of its proper divisors (281814246).

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

225773874 is a wasteful number, since it uses less digits than its factorization.

225773874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1352 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 225773874 is about 15025.7736572863. The cubic root of 225773874 is about 608.9167139212.

The spelling of 225773874 in words is "two hundred twenty-five million, seven hundred seventy-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 617 701 1234 1402 1851 2103 3702 4206 5553 6309 11106 12618 17893 20329 35786 40658 53679 60987 107358 121974 161037 182961 322074 365922 432517 865034 1297551 2595102 3892653 7785306 12542993 25085986 37628979 75257958 112886937 225773874