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2322252864 = 263224116729
BaseRepresentation
bin1000101001101010…
…1100010001000000
312222211201200001100
42022122230101000
514223444042424
61022233534400
7111355552341
oct21232542100
95884650040
102322252864
11a9193aa48
12549874400
132b0166b29
141805c20c8
15d8d19dc9
hex8a6ac440

2322252864 has 84 divisors (see below), whose sum is σ = 6684337660. Its totient is φ = 770826240.

The previous prime is 2322252839. The next prime is 2322252899. The reversal of 2322252864 is 4682522232.

2322252864 is a `hidden beast` number, since 2 + 322 + 252 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1635393600 + 686859264 = 40440^2 + 26208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130452 + ... + 147180.

Almost surely, 22322252864 is an apocalyptic number.

2322252864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342168830).

2322252864 is an abundant number, since it is smaller than the sum of its proper divisors (4362084796).

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

2322252864 is a wasteful number, since it uses less digits than its factorization.

2322252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16988 (or 16975 counting only the distinct ones).

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

The square root of 2322252864 is about 48189.7589120344. The cubic root of 2322252864 is about 1324.2495551597.

The spelling of 2322252864 in words is "two billion, three hundred twenty-two million, two hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 16729 17352 23136 33458 34704 46272 50187 66916 69408 100374 133832 138816 150561 200748 267664 301122 401496 535328 602244 802992 1070656 1204488 1605984 2408976 3211968 4031689 4817952 8063378 9635904 12095067 16126756 24190134 32253512 36285201 48380268 64507024 72570402 96760536 129014048 145140804 193521072 258028096 290281608 387042144 580563216 774084288 1161126432 2322252864