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2243345256 = 2332317691307
BaseRepresentation
bin1000010110110110…
…1011101101101000
312210100020202011100
42011231223231220
514043244022011
61010334401400
7106410056115
oct20555535550
95710222140
102243345256
11a51345549
12527360260
132999c9a39
14173d2190c
15d1e2ed56
hex85b6bb68

2243345256 has 96 divisors (see below), whose sum is σ = 6284678400. Its totient is φ = 722165760.

The previous prime is 2243345249. The next prime is 2243345309. The reversal of 2243345256 is 6525433422.

2243345256 is a `hidden beast` number, since 22 + 43 + 345 + 256 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2243345256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715755 + ... + 1717061.

It is an arithmetic number, because the mean of its divisors is an integer number (65465400).

Almost surely, 22243345256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243345256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142339200).

2243345256 is an abundant number, since it is smaller than the sum of its proper divisors (4041333144).

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

2243345256 is a wasteful number, since it uses less digits than its factorization.

2243345256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2243345256 is about 47363.9657967954. The cubic root of 2243345256 is about 1309.0775426139.

Adding to 2243345256 its reverse (6525433422), we get a palindrome (8768778678).

The spelling of 2243345256 in words is "two billion, two hundred forty-three million, three hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 769 1116 1307 1538 2232 2307 2614 3076 3921 4614 5228 6152 6921 7842 9228 10456 11763 13842 15684 18456 23526 23839 27684 31368 40517 47052 47678 55368 71517 81034 94104 95356 121551 143034 162068 190712 214551 243102 286068 324136 364653 429102 486204 572136 729306 858204 972408 1005083 1458612 1716408 2010166 2917224 3015249 4020332 6030498 8040664 9045747 12060996 18091494 24121992 31157573 36182988 62315146 72365976 93472719 124630292 186945438 249260584 280418157 373890876 560836314 747781752 1121672628 2243345256