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225046274560 = 295227387263
BaseRepresentation
bin1101000110010111001…
…1011010001000000000
3210111212212021021001221
43101211303122020000
512141343321241220
6251215042404424
722154566525432
oct3214563321000
9714785237057
10225046274560
1187494833a68
1237747660714
13182b6308193
14ac6c672652
155cc22379aa
hex3465cda200

225046274560 has 80 divisors (see below), whose sum is σ = 541962026496. Its totient is φ = 89621721088.

The previous prime is 225046274419. The next prime is 225046274581. The reversal of 225046274560 is 65472640522.

It is a tau number, because it is divible by the number of its divisors (80).

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, 387489 + ... + 774751.

Almost surely, 2225046274560 is an apocalyptic number.

225046274560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225046274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270981013248).

225046274560 is an abundant number, since it is smaller than the sum of its proper divisors (316915751936).

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

225046274560 is an equidigital number, since it uses as much as digits as its factorization.

225046274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387513 (or 387497 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 225046274560 in words is "two hundred twenty-five billion, forty-six million, two hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 256 320 454 512 640 908 1135 1280 1816 2270 2560 3632 4540 7264 9080 14528 18160 29056 36320 58112 72640 116224 145280 290560 387263 581120 774526 1549052 1936315 3098104 3872630 6196208 7745260 12392416 15490520 24784832 30981040 49569664 61962080 87908701 99139328 123924160 175817402 198278656 247848320 351634804 439543505 495696640 703269608 879087010 991393280 1406539216 1758174020 2813078432 3516348040 5626156864 7032696080 11252313728 14065392160 22504627456 28130784320 45009254912 56261568640 112523137280 225046274560