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214305525221220 = 22335396862083743
BaseRepresentation
bin110000101110100011100100…
…101101000100011101100100
31001002210102000112011100201000
4300232203210231010131210
5211042140203424034340
62035442333230233300
763066030460345356
oct6056434455043544
91032712015140630
10214305525221220
1162314510065764
1220051a1a955830
139276c029461a4
143acc62ad350d6
1519b98a274dd30
hexc2e8e4b44764

214305525221220 has 48 divisors (see below), whose sum is σ = 666728300689920. Its totient is φ = 57148140058848.

The previous prime is 214305525221189. The next prime is 214305525221233. The reversal of 214305525221220 is 22122525503412.

214305525221220 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 0 + 5 + 5 + 2 + 522 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198431041332 + ... + 198431042411.

It is an arithmetic number, because the mean of its divisors is an integer number (13890172931040).

Almost surely, 2214305525221220 is an apocalyptic number.

214305525221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214305525221220 is an abundant number, since it is smaller than the sum of its proper divisors (452422775468700).

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

214305525221220 is a wasteful number, since it uses less digits than its factorization.

214305525221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396862083761 (or 396862083753 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 214305525221220 in words is "two hundred fourteen trillion, three hundred five billion, five hundred twenty-five million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 396862083743 793724167486 1190586251229 1587448334972 1984310418715 2381172502458 3571758753687 3968620837430 4762345004916 5952931256145 7143517507374 7937241674860 10715276261061 11905862512290 14287035014748 17858793768435 21430552522122 23811725024580 35717587536870 42861105044244 53576381305305 71435175073740 107152762610610 214305525221220