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225109564632 = 233217864721269
BaseRepresentation
bin1101000110100110010…
…0110101110011011000
3210112001021100201201200
43101221210311303120
512142011022032012
6251225223114200
722156265504541
oct3215144656330
9715037321650
10225109564632
1187517531807
12377648a2960
13182c6467824
14ac76c294c8
155cc7a8a3dc
hex3469935cd8

225109564632 has 96 divisors (see below), whose sum is σ = 645639789600. Its totient is φ = 70611121152.

The previous prime is 225109564627. The next prime is 225109564663. The reversal of 225109564632 is 236465901522.

225109564632 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 0 + 9 + 5 + 6 + 4 + 632 = 666.

225109564632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10573294 + ... + 10594562.

It is an arithmetic number, because the mean of its divisors is an integer number (6725414475).

Almost surely, 2225109564632 is an apocalyptic number.

It is an amenable number.

225109564632 is an abundant number, since it is smaller than the sum of its proper divisors (420530224968).

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

225109564632 is a wasteful number, since it uses less digits than its factorization.

225109564632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29945 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 225109564632 in words is "two hundred twenty-five billion, one hundred nine million, five hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8647 17294 21269 25941 34588 42538 51882 63807 69176 77823 85076 103764 127614 146999 155646 170152 191421 207528 255228 293998 311292 361573 382842 440997 510456 587996 622584 723146 765684 881994 1084719 1175992 1322991 1446292 1531368 1763988 2169438 2645982 2892584 3254157 3527976 4338876 5291964 6508314 8677752 10583928 13016628 26033256 183913043 367826086 551739129 735652172 1103478258 1471304344 1655217387 2206956516 3126521731 3310434774 4413913032 6253043462 6620869548 9379565193 12506086924 13241739096 18759130386 25012173848 28138695579 37518260772 56277391158 75036521544 112554782316 225109564632