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214169030656 = 2127210332
BaseRepresentation
bin1100011101110101111…
…0000001000000000000
3202110210210211000112121
43013131132001000000
512002104232440111
6242215441334024
721321210503200
oct3073536010000
9673723730477
10214169030656
118291291a699
1235610937314
1317271961099
14a519bd8400
155887345871
hex31dd781000

214169030656 has 117 divisors (see below), whose sum is σ = 498692743101. Its totient is φ = 91697872896.

The previous prime is 214169030597. The next prime is 214169030687. The reversal of 214169030656 is 656030961412.

The square root of 214169030656 is 462784.

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

It can be written as a sum of positive squares in only one way, i.e., 206770278400 + 7398752256 = 454720^2 + 86016^2 .

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, 207326716 + ... + 207327748.

Almost surely, 2214169030656 is an apocalyptic number.

214169030656 is the 462784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214169030656

214169030656 is an abundant number, since it is smaller than the sum of its proper divisors (284523712445).

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

214169030656 is an frugal number, since it uses more digits than its factorization.

214169030656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 214169030656 in words is "two hundred fourteen billion, one hundred sixty-nine million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1033 1568 1792 2048 2066 3136 3584 4096 4132 6272 7168 7231 8264 12544 14336 14462 16528 25088 28672 28924 33056 50176 50617 57848 66112 100352 101234 115696 132224 200704 202468 231392 264448 404936 462784 528896 809872 925568 1057792 1067089 1619744 1851136 2115584 2134178 3239488 3702272 4231168 4268356 6478976 7404544 7469623 8536712 12957952 14809088 14939246 17073424 25915904 29618176 29878492 34146848 51831808 52287361 59756984 68293696 103663616 104574722 119513968 136587392 207327232 209149444 239027936 273174784 418298888 478055872 546349568 836597776 956111744 1092699136 1673195552 1912223488 2185398272 3346391104 3824446976 4370796544 6692782208 7648893952 13385564416 15297787904 26771128832 30595575808 53542257664 107084515328 214169030656