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2188839264 = 253293372333
BaseRepresentation
bin1000001001110111…
…0000100101100000
312122112200112222220
42002131300211200
513440320324024
61001110231040
7105145553403
oct20235604540
95575615886
102188839264
11a235a7377
12511055480
1328b624681
1416a9b3d3a
15cc264e79
hex82770960

2188839264 has 96 divisors (see below), whose sum is σ = 5964023520. Its totient is φ = 702062592.

The previous prime is 2188839259. The next prime is 2188839287. The reversal of 2188839264 is 4629388812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937042 + ... + 939374.

It is an arithmetic number, because the mean of its divisors is an integer number (62125245).

Almost surely, 22188839264 is an apocalyptic number.

2188839264 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 2188839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982011760).

2188839264 is an abundant number, since it is smaller than the sum of its proper divisors (3775184256).

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

2188839264 is a wasteful number, since it uses less digits than its factorization.

2188839264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 2188839264 is about 46785.0324783472. The cubic root of 2188839264 is about 1298.3883902901.

The spelling of 2188839264 in words is "two billion, one hundred eighty-eight million, eight hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 337 348 464 674 696 928 1011 1348 1392 2022 2333 2696 2784 4044 4666 5392 6999 8088 9332 9773 10784 13998 16176 18664 19546 27996 29319 32352 37328 39092 55992 58638 67657 74656 78184 111984 117276 135314 156368 202971 223968 234552 270628 312736 405942 469104 541256 786221 811884 938208 1082512 1572442 1623768 2165024 2358663 3144884 3247536 4717326 6289768 6495072 9434652 12579536 18869304 22800409 25159072 37738608 45600818 68401227 75477216 91201636 136802454 182403272 273604908 364806544 547209816 729613088 1094419632 2188839264