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225553040 = 2452819413
BaseRepresentation
bin11010111000110…
…10101010010000
3120201102021121022
431130122222100
5430220144130
634214215012
75406112016
oct1534325220
9521367538
10225553040
11106356379
1263654468
133796314b
1421d548b6
1514c057e5
hexd71aa90

225553040 has 20 divisors (see below), whose sum is σ = 524411004. Its totient is φ = 90221184.

The previous prime is 225552997. The next prime is 225553057. The reversal of 225553040 is 40355522.

It can be written as a sum of positive squares in 2 ways, for example, as 116726416 + 108826624 = 10804^2 + 10432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1409627 + ... + 1409786.

Almost surely, 2225553040 is an apocalyptic number.

225553040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225553040 is an abundant number, since it is smaller than the sum of its proper divisors (298857964).

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

225553040 is a wasteful number, since it uses less digits than its factorization.

225553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819426 (or 2819420 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 225553040 is about 15018.4233526692. The cubic root of 225553040 is about 608.7181178990.

The spelling of 225553040 in words is "two hundred twenty-five million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2819413 5638826 11277652 14097065 22555304 28194130 45110608 56388260 112776520 225553040