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2257323084 = 2232379717471
BaseRepresentation
bin1000011010001100…
…0000010001001100
312211022112220010200
42012203000101030
514110333314314
61011554133500
7106636633602
oct20643002114
95738486120
102257323084
11a59222275
1252bb81290
1329c882043
14175b1d872
15d3291709
hex868c044c

2257323084 has 72 divisors (see below), whose sum is σ = 5920981248. Its totient is φ = 724515840.

The previous prime is 2257323071. The next prime is 2257323091. The reversal of 2257323084 is 4803237522.

2257323084 is a `hidden beast` number, since 2 + 2 + 573 + 2 + 3 + 0 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120469 + ... + 137939.

Almost surely, 22257323084 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 2257323084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960490624).

2257323084 is an abundant number, since it is smaller than the sum of its proper divisors (3663658164).

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

2257323084 is a wasteful number, since it uses less digits than its factorization.

2257323084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17615 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2257323084 is about 47511.2942783082. The cubic root of 2257323084 is about 1311.7907804830.

The spelling of 2257323084 in words is "two billion, two hundred fifty-seven million, three hundred twenty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 148 194 222 291 333 388 444 582 666 873 1164 1332 1746 3492 3589 7178 10767 14356 17471 21534 32301 34942 43068 52413 64602 69884 104826 129204 157239 209652 314478 628956 646427 1292854 1694687 1939281 2585708 3389374 3878562 5084061 5817843 6778748 7757124 10168122 11635686 15252183 20336244 23271372 30504366 61008732 62703419 125406838 188110257 250813676 376220514 564330771 752441028 1128661542 2257323084