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214160254722 = 23410323532
BaseRepresentation
bin1100011101110011110…
…0100010011100000010
3202110210012022011020000
43013130330202130002
512002100011122342
6242214525300430
721321043062321
oct3073474423402
9673705264200
10214160254722
1182908976157
1235609a04716
131726cbaa71b
14a5189920b8
1558866b044c
hex31dcf22702

214160254722 has 90 divisors (see below), whose sum is σ = 485958488697. Its totient is φ = 70493410944.

The previous prime is 214160254657. The next prime is 214160254747. The reversal of 214160254722 is 227452061412.

214160254722 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 602 + 5 + 47 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212261996961 + 1898257761 = 460719^2 + 43569^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=327231.

It is a super-2 number, since 2×2141602547222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 606686098 + ... + 606686450.

Almost surely, 2214160254722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214160254722

214160254722 is an abundant number, since it is smaller than the sum of its proper divisors (271798233975).

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

214160254722 is an frugal number, since it uses more digits than its factorization.

214160254722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

It can be divided in two parts, 2141602 and 54722, that added together give a square (2196324 = 14822).

The spelling of 214160254722 in words is "two hundred fourteen billion, one hundred sixty million, two hundred fifty-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 353 618 706 927 1059 1854 2118 2781 3177 5562 6354 8343 9531 10609 16686 19062 21218 28593 31827 36359 57186 63654 72718 95481 109077 124609 190962 218154 249218 286443 327231 373827 572886 654462 747654 859329 981693 1121481 1718658 1963386 2242962 2945079 3364443 3744977 5890158 6728886 7489954 10093329 11234931 12834727 20186658 22469862 25669454 33704793 38504181 67409586 77008362 101114379 115512543 202228758 231025086 303343137 346537629 606686274 693075258 1039612887 1321976881 2079225774 2643953762 3965930643 7931861286 11897791929 23795583858 35693375787 71386751574 107080127361 214160254722