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225002520 = 23325625007
BaseRepresentation
bin11010110100101…
…00010000011000
3120200101022102200
431122110100120
5430100040040
634154330200
75401330011
oct1532242030
9520338380
10225002520
1110600a7a6
1263429960
13377cc6b2
1421c50008
1514b47630
hexd694418

225002520 has 48 divisors (see below), whose sum is σ = 731259360. Its totient is φ = 60000576.

The previous prime is 225002483. The next prime is 225002539. The reversal of 225002520 is 25200522.

It is a super-2 number, since 2×2250025202 = 101252268012700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225002493 and 225002502.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 312144 + ... + 312863.

It is an arithmetic number, because the mean of its divisors is an integer number (15234570).

Almost surely, 2225002520 is an apocalyptic number.

225002520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225002520 is an abundant number, since it is smaller than the sum of its proper divisors (506256840).

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

225002520 is a wasteful number, since it uses less digits than its factorization.

225002520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625024 (or 625017 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225002520 is about 15000.0839997648. The cubic root of 225002520 is about 608.2224702376. Note that the first 3 decimals are identical.

It can be divided in two parts, 225002 and 520, that added together give a palindrome (225522).

The spelling of 225002520 in words is "two hundred twenty-five million, two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 625007 1250014 1875021 2500028 3125035 3750042 5000056 5625063 6250070 7500084 9375105 11250126 12500140 15000168 18750210 22500252 25000280 28125315 37500420 45000504 56250630 75000840 112501260 225002520