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225018624 = 283292993
BaseRepresentation
bin11010110100110…
…00001100000000
3120200102010112010
431122120030000
5430101043444
634154532520
75401424655
oct1532301400
9520363463
10225018624
11106020906
1263437140
1337806b1c
1421c55c2c
1514b4c2b9
hexd698300

225018624 has 36 divisors (see below), whose sum is σ = 598879736. Its totient is φ = 75005952.

The previous prime is 225018601. The next prime is 225018643. The reversal of 225018624 is 426810522.

It is a super-2 number, since 2×2250186242 = 101266762293706752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225018591 and 225018600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145729 + ... + 147264.

Almost surely, 2225018624 is an apocalyptic number.

225018624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225018624 is an abundant number, since it is smaller than the sum of its proper divisors (373861112).

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

225018624 is an equidigital number, since it uses as much as digits as its factorization.

225018624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293012 (or 292998 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 225018624 is about 15000.6207871541. The cubic root of 225018624 is about 608.2369805654.

It can be divided in two parts, 22501 and 8624, that added together give a triangular number (31125 = T249).

The spelling of 225018624 in words is "two hundred twenty-five million, eighteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 292993 585986 878979 1171972 1757958 2343944 3515916 4687888 7031832 9375776 14063664 18751552 28127328 37503104 56254656 75006208 112509312 225018624