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225212544 = 2732195497
BaseRepresentation
bin11010110110001…
…11100010000000
3120200202222112100
431123013202000
5430123300134
634203030400
75403163224
oct1533074200
9520688470
10225212544
11106143577
126350b400
133787417b
1421ca6784
1514b89999
hexd6c7880

225212544 has 48 divisors (see below), whose sum is σ = 648075870. Its totient is φ = 75070464.

The previous prime is 225212531. The next prime is 225212557. The reversal of 225212544 is 445212522.

It is an interprime number because it is at equal distance from previous prime (225212531) and next prime (225212557).

It can be written as a sum of positive squares in only one way, i.e., 217857600 + 7354944 = 14760^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96597 + ... + 98900.

Almost surely, 2225212544 is an apocalyptic number.

225212544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225212544 is an abundant number, since it is smaller than the sum of its proper divisors (422863326).

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

225212544 is a wasteful number, since it uses less digits than its factorization.

225212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195517 (or 195502 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 225212544 is about 15007.0831276434. The cubic root of 225212544 is about 608.4116556607.

The spelling of 225212544 in words is "two hundred twenty-five million, two hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 195497 390994 586491 781988 1172982 1563976 1759473 2345964 3127952 3518946 4691928 6255904 7037892 9383856 12511808 14075784 18767712 25023616 28151568 37535424 56303136 75070848 112606272 225212544