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225123690 = 235111740129
BaseRepresentation
bin11010110101100…
…01110101101010
3120200121110122110
431122301311222
5430112424230
634201103150
75402343201
oct1532616552
9520543573
10225123690
11106092840
1263487ab6
13378428ac
1421c82238
1514b6d4b0
hexd6b1d6a

225123690 has 64 divisors (see below), whose sum is σ = 624101760. Its totient is φ = 51363840.

The previous prime is 225123683. The next prime is 225123697. The reversal of 225123690 is 96321522.

It is an interprime number because it is at equal distance from previous prime (225123683) and next prime (225123697).

It is a super-2 number, since 2×2251236902 = 101361351598432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225123697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14455 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (9751590).

Almost surely, 2225123690 is an apocalyptic number.

225123690 is an abundant number, since it is smaller than the sum of its proper divisors (398978070).

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

225123690 is a wasteful number, since it uses less digits than its factorization.

225123690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40167.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 225123690 is about 15004.1224335181. The cubic root of 225123690 is about 608.3316321130.

The spelling of 225123690 in words is "two hundred twenty-five million, one hundred twenty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 40129 80258 120387 200645 240774 401290 441419 601935 682193 882838 1203870 1324257 1364386 2046579 2207095 2648514 3410965 4093158 4414190 6621285 6821930 7504123 10232895 13242570 15008246 20465790 22512369 37520615 45024738 75041230 112561845 225123690