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2314654056 = 2334111324979
BaseRepresentation
bin1000100111110110…
…1101000101101000
312222022102121110000
42021331231011220
514220022412211
61021403023000
7111234143361
oct21175550550
95868377400
102314654056
11a8861a940
1254720aa60
132ab7061b0
1417d5a4b68
15d8318656
hex89f6d168

2314654056 has 160 divisors (see below), whose sum is σ = 7616901600. Its totient is φ = 647429760.

The previous prime is 2314654049. The next prime is 2314654099. The reversal of 2314654056 is 6504564132.

2314654056 is a `hidden beast` number, since 23 + 1 + 46 + 540 + 56 = 666.

2314654056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23146540562 = 10715246797914502272, which contains 22 as substring.

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 2314654056.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80175 + ... + 105153.

It is an arithmetic number, because the mean of its divisors is an integer number (47605635).

Almost surely, 22314654056 is an apocalyptic number.

2314654056 is a gapful number since it is divisible by the number (26) 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 2314654056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808450800).

2314654056 is an abundant number, since it is smaller than the sum of its proper divisors (5302247544).

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

2314654056 is a wasteful number, since it uses less digits than its factorization.

2314654056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25021 (or 25008 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2314654056 is about 48110.8517488518. The cubic root of 2314654056 is about 1322.8035866192.

The spelling of 2314654056 in words is "two billion, three hundred fourteen million, six hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 24979 30888 46332 49958 74937 92664 99916 149874 199832 224811 274769 299748 324727 449622 549538 599496 649454 674433 824307 899244 974181 1099076 1298908 1348866 1648614 1798488 1948362 2023299 2198152 2472921 2597816 2697732 2922543 3297228 3571997 3896724 4046598 4945842 5395464 5845086 6594456 7143994 7418763 7793448 8093196 8767629 9891684 10715991 11690172 14287988 14837526 16186392 17535258 19783368 21431982 22256289 23380344 26302887 28575976 29675052 32147973 35070516 42863964 44512578 52605774 59350104 64295946 70141032 85727928 89025156 96443919 105211548 128591892 178050312 192887838 210423096 257183784 289331757 385775676 578663514 771551352 1157327028 2314654056