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2264584230 = 234514331951
BaseRepresentation
bin1000011011111010…
…1101000000100110
312211211012210120000
42012332231000212
514114213143410
61012413522130
7110055435246
oct20676550046
95754183500
102264584230
11a62331717
125324a3346
132a122508c
14176a8db26
15d3c27dc0
hex86fad026

2264584230 has 80 divisors (see below), whose sum is σ = 6096587904. Its totient is φ = 603158400.

The previous prime is 2264584187. The next prime is 2264584241. The reversal of 2264584230 is 324854622.

2264584230 is a `hidden beast` number, since 2 + 2 + 645 + 8 + 4 + 2 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1159755 + ... + 1161705.

Almost surely, 22264584230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264584230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048293952).

2264584230 is an abundant number, since it is smaller than the sum of its proper divisors (3832003674).

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

2264584230 is a wasteful number, since it uses less digits than its factorization.

2264584230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2264584230 is about 47587.6478721107. The cubic root of 2264584230 is about 1313.1958236960.

The spelling of 2264584230 in words is "two billion, two hundred sixty-four million, five hundred eighty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1433 1951 2866 3902 4299 5853 7165 8598 9755 11706 12897 14330 17559 19510 21495 25794 29265 35118 38691 42990 52677 58530 64485 77382 87795 105354 116073 128970 158031 175590 193455 232146 263385 316062 386910 526770 580365 790155 1160730 1580310 2795783 5591566 8387349 13978915 16774698 25162047 27957830 41936745 50324094 75486141 83873490 125810235 150972282 226458423 251620470 377430705 452916846 754861410 1132292115 2264584230