Search a number
-
+
225727324240 = 24511256508323
BaseRepresentation
bin1101001000111001100…
…1011010000001010000
3210120122022210011121011
43102032121122001100
512144242143333430
6251410411540304
722210506412135
oct3221631320120
9716568704534
10225727324240
118780420a740
12378b775a694
1318394440b62
14acd4cb658c
155d11e1522a
hex348e65a050

225727324240 has 40 divisors (see below), whose sum is σ = 572526579168. Its totient is φ = 82082663040.

The previous prime is 225727324223. The next prime is 225727324267. The reversal of 225727324240 is 42423727522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 225727324193 and 225727324202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128253282 + ... + 128255041.

Almost surely, 2225727324240 is an apocalyptic number.

225727324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225727324240 is an abundant number, since it is smaller than the sum of its proper divisors (346799254928).

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

225727324240 is a wasteful number, since it uses less digits than its factorization.

225727324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256508347 (or 256508341 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 40.

The spelling of 225727324240 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 256508323 513016646 1026033292 1282541615 2052066584 2565083230 2821591553 4104133168 5130166460 5643183106 10260332920 11286366212 14107957765 20520665840 22572732424 28215915530 45145464848 56431831060 112863662120 225727324240