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225345178260 = 2232519411607083
BaseRepresentation
bin1101000111011110011…
…1101000101010010100
3210112122200201010212100
43101313213220222110
512143001331201020
6251304441122100
722165156260666
oct3216747505224
9715580633770
10225345178260
1187628529814
123780b789330
1318333210c87
14ac9a23c536
155cdd5cba90
hex34779e8a94

225345178260 has 144 divisors (see below), whose sum is σ = 737073005760. Its totient is φ = 55540753920.

The previous prime is 225345178249. The next prime is 225345178351. The reversal of 225345178260 is 62871543522.

225345178260 is a `hidden beast` number, since 2 + 2 + 53 + 4 + 517 + 82 + 6 + 0 = 666.

225345178260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663322 + ... + 943761.

It is an arithmetic number, because the mean of its divisors is an integer number (5118562540).

Almost surely, 2225345178260 is an apocalyptic number.

225345178260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225345178260 is an abundant number, since it is smaller than the sum of its proper divisors (511727827500).

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

225345178260 is a wasteful number, since it uses less digits than its factorization.

225345178260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607158 (or 1607153 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 225345178260 in words is "two hundred twenty-five billion, three hundred forty-five million, one hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1710 1845 2337 2460 3116 3420 3690 3895 4674 7011 7380 7790 9348 11685 14022 15580 23370 28044 35055 46740 70110 140220 1607083 3214166 4821249 6428332 8035415 9642498 14463747 16070830 19284996 24106245 28927494 30534577 32141660 48212490 57854988 61069154 65890403 72318735 91603731 96424980 122138308 131780806 144637470 152672885 183207462 197671209 263561612 274811193 289274940 305345770 329452015 366414924 395342418 458018655 549622386 593013627 610691540 658904030 790684836 916037310 988356045 1099244772 1186027254 1251917657 1317808060 1374055965 1832074620 1976712090 2372054508 2503835314 2748111930 2965068135 3755752971 3953424180 5007670628 5496223860 5930136270 6259588285 7511505942 11267258913 11860272540 12519176570 15023011884 18778764855 22534517826 25038353140 37557529710 45069035652 56336294565 75115059420 112672589130 225345178260