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225427456 = 21413759
BaseRepresentation
bin11010110111111…
…00000000000000
3120201011220100001
431123330000000
5430202134311
634211405344
75405046622
oct1533740000
9521156301
10225427456
1110627aa91
12635b3854
133791ac37
1421d20c12
1514bcd4c1
hexd6fc000

225427456 has 30 divisors (see below), whose sum is σ = 450873920. Its totient is φ = 112705536.

The previous prime is 225427451. The next prime is 225427511. The reversal of 225427456 is 654724522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225427451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9505 + ... + 23263.

Almost surely, 2225427456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225436960).

225427456 is an abundant number, since it is smaller than the sum of its proper divisors (225446464).

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

225427456 is an frugal number, since it uses more digits than its factorization.

225427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13761 counting only the distinct ones).

The product of its digits is 134400, while the sum is 37.

The square root of 225427456 is about 15014.2417723973. The cubic root of 225427456 is about 608.6051223802.

The spelling of 225427456 in words is "two hundred twenty-five million, four hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 13759 16384 27518 55036 110072 220144 440288 880576 1761152 3522304 7044608 14089216 28178432 56356864 112713728 225427456