Search a number
-
+
225028931598 = 236233662407
BaseRepresentation
bin1101000110010011000…
…1010000000000001110
3210111211122122011000000
43101210301100000032
512141324401302343
6251213222545130
722154266234032
oct3214461200016
9714748564000
10225028931598
1187485a68a39
12377418981a6
13182b2845283
14ac6a23a1c2
155cc095ded3
hex3464c5000e

225028931598 has 56 divisors (see below), whose sum is σ = 508256384688. Its totient is φ = 74687601312.

The previous prime is 225028931597. The next prime is 225028931663. The reversal of 225028931598 is 895139820522.

It is a happy number.

225028931598 is a `hidden beast` number, since 2 + 2 + 502 + 89 + 3 + 1 + 59 + 8 = 666.

It is a super-2 number, since 2×2250289315982 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225028931591) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 8511 + ... + 670917.

Almost surely, 2225028931598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225028931598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254128192344).

225028931598 is an abundant number, since it is smaller than the sum of its proper divisors (283227453090).

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

225028931598 is an equidigital number, since it uses as much as digits as its factorization.

225028931598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662660 (or 662645 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 225028931598 in words is "two hundred twenty-five billion, twenty-eight million, nine hundred thirty-one thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 243 466 486 699 729 1398 1458 2097 4194 6291 12582 18873 37746 56619 113238 169857 339714 662407 1324814 1987221 3974442 5961663 11923326 17884989 35769978 53654967 107309934 154340831 160964901 308681662 321929802 463022493 482894703 926044986 965789406 1389067479 2778134958 4167202437 8334404874 12501607311 25003214622 37504821933 75009643866 112514465799 225028931598