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217428229264 = 2443227112
BaseRepresentation
bin1100101001111110111…
…0110111110010010000
3202210012221120110112011
43022133232313302100
512030243111314024
6243515105312304
721465034312021
oct3123756676220
9683187513464
10217428229264
1184235626864
1236180335694
1317670c58b7c
14a7489d2c48
1559c8539094
hex329fbb7c90

217428229264 has 45 divisors (see below), whose sum is σ = 431451089139. Its totient is φ = 106146710880.

The previous prime is 217428229231. The next prime is 217428229283. The reversal of 217428229264 is 462922824712.

The square root of 217428229264 is 466292.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80200869 + ... + 80203579.

Almost surely, 2217428229264 is an apocalyptic number.

217428229264 is the 466292-nd square number.

It is an amenable number.

217428229264 is a deficient number, since it is larger than the sum of its proper divisors (214022859875).

217428229264 is an frugal number, since it uses more digits than its factorization.

217428229264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 2756 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

Multiplying 217428229264 by its sum of digits (49), we get a square (10653983233936 = 32640442).

The spelling of 217428229264 in words is "two hundred seventeen billion, four hundred twenty-eight million, two hundred twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 43 86 172 344 688 1849 2711 3698 5422 7396 10844 14792 21688 29584 43376 116573 233146 466292 932584 1865168 5012639 7349521 10025278 14699042 20050556 29398084 40101112 58796168 80202224 117592336 316029403 632058806 1264117612 2528235224 5056470448 13589264329 27178528658 54357057316 108714114632 217428229264