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2314928952 = 2332751913
BaseRepresentation
bin1000100111111011…
…0000001100111000
312222022221120112100
42021332300030320
514220110211302
61021412543400
7111236400000
oct21176601470
95868846470
102314928952
11a88798426
12547321b60
132ab7a135b
1417d637000
15d836ed1c
hex89fb0338

2314928952 has 144 divisors (see below), whose sum is σ = 7318293840. Its totient is φ = 661062528.

The previous prime is 2314928911. The next prime is 2314929059. The reversal of 2314928952 is 2598294132.

2314928952 is a `hidden beast` number, since 2 + 31 + 492 + 89 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2314928898 and 2314928907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1209148 + ... + 1211060.

It is an arithmetic number, because the mean of its divisors is an integer number (50821485).

Almost surely, 22314928952 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 2314928952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659146920).

2314928952 is an abundant number, since it is smaller than the sum of its proper divisors (5003364888).

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

2314928952 is an equidigital number, since it uses as much as digits as its factorization.

2314928952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1925 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2314928952 is about 48113.7085662704. The cubic root of 2314928952 is about 1322.8559513947.

The spelling of 2314928952 in words is "two billion, three hundred fourteen million, nine hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 1913 2058 2401 2744 3087 3528 3826 4116 4802 5739 6174 7203 7652 8232 9604 11478 12348 13391 14406 15304 16807 17217 19208 21609 22956 24696 26782 28812 33614 34434 40173 43218 45912 50421 53564 57624 67228 68868 80346 86436 93737 100842 107128 120519 134456 137736 151263 160692 172872 187474 201684 241038 281211 302526 321384 374948 403368 482076 562422 605052 656159 749896 843633 964152 1124844 1210104 1312318 1687266 1968477 2249688 2624636 3374532 3936954 4593113 5249272 5905431 6749064 7873908 9186226 11810862 13779339 15747816 18372452 23621724 27558678 32151791 36744904 41338017 47243448 55117356 64303582 82676034 96455373 110234712 128607164 165352068 192910746 257214328 289366119 330704136 385821492 578732238 771642984 1157464476 2314928952