Search a number
-
+
225151512 = 23331378179
BaseRepresentation
bin11010110101110…
…00101000011000
3120200122212210220
431122320220120
5430114322022
634201440040
75402520255
oct1532705030
9520585726
10225151512
11106101733
12634a0020
1337852461
1421c8c42c
1514b7685c
hexd6b8a18

225151512 has 64 divisors (see below), whose sum is σ = 596812800. Its totient is φ = 70657920.

The previous prime is 225151429. The next prime is 225151567. The reversal of 225151512 is 215151522.

It is a super-2 number, since 2×2251515122 = 101386406711772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23439 + ... + 31617.

It is an arithmetic number, because the mean of its divisors is an integer number (9325200).

Almost surely, 2225151512 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 225151512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298406400).

225151512 is an abundant number, since it is smaller than the sum of its proper divisors (371661288).

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

225151512 is a wasteful number, since it uses less digits than its factorization.

225151512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8252 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 225151512 is about 15005.0495500681. The cubic root of 225151512 is about 608.3566913823.

The spelling of 225151512 in words is "two hundred twenty-five million, one hundred fifty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 4588 6882 8179 9176 13764 16358 24537 27528 32716 49074 65432 98148 196296 253549 302623 507098 605246 760647 907869 1014196 1210492 1521294 1815738 2028392 2420984 3042588 3631476 6085176 7262952 9381313 18762626 28143939 37525252 56287878 75050504 112575756 225151512