Search a number
-
+
214717056732 = 223243592350951
BaseRepresentation
bin1100011111111000100…
…0100100011011011100
3202112020000000121222200
43013332020210123130
512004220031303412
6242350055411500
721340613603643
oct3077610443334
9675200017880
10214717056732
11830741a9802
1235744383b90
131732b35cc79
14a56c8d235a
1558ba4e89dc
hex31fe2246dc

214717056732 has 72 divisors (see below), whose sum is σ = 564792708480. Its totient is φ = 68722970400.

The previous prime is 214717056721. The next prime is 214717056769. The reversal of 214717056732 is 237650717412.

214717056732 is a `hidden beast` number, since 2 + 1 + 47 + 17 + 0 + 567 + 32 = 666.

It is a super-2 number, since 2×2147170567322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084144 + ... + 1266807.

Almost surely, 2214717056732 is an apocalyptic number.

It is an amenable number.

214717056732 is an abundant number, since it is smaller than the sum of its proper divisors (350075651748).

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

214717056732 is a wasteful number, since it uses less digits than its factorization.

214717056732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351063 (or 2351058 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

It can be divided in two parts, 21471 and 7056732, that added together give a triangular number (7078203 = T3762).

The spelling of 214717056732 in words is "two hundred fourteen billion, seven hundred seventeen million, fifty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 258 354 387 516 531 708 774 1062 1548 2124 2537 5074 7611 10148 15222 22833 30444 45666 91332 2350951 4701902 7052853 9403804 14105706 21158559 28211412 42317118 84634236 101090893 138706109 202181786 277412218 303272679 404363572 416118327 554824436 606545358 832236654 909818037 1213090716 1248354981 1664473308 1819636074 2496709962 3639272148 4993419924 5964362687 11928725374 17893088061 23857450748 35786176122 53679264183 71572352244 107358528366 214717056732