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2315045312 = 261723711303
BaseRepresentation
bin1000100111111100…
…1100100111000000
312222100011111010222
42021333030213000
514220122422222
61021415242212
7111240363146
oct21177144700
95870144128
102315045312
11a88867898
12547379368
132ab8122c8
1417d667596
15d8394542
hex89fcc9c0

2315045312 has 112 divisors (see below), whose sum is σ = 5151071232. Its totient is φ = 1026600960.

The previous prime is 2315045273. The next prime is 2315045323. The reversal of 2315045312 is 2135405132.

It is a happy number.

It is a super-2 number, since 2×23150453122 = 10718869593226354688, which contains 22 as substring.

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, 1776053 + ... + 1777355.

Almost surely, 22315045312 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 2315045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575535616).

2315045312 is an abundant number, since it is smaller than the sum of its proper divisors (2836025920).

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

2315045312 is a wasteful number, since it uses less digits than its factorization.

2315045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2315045312 is about 48114.9177698560. The cubic root of 2315045312 is about 1322.8781154931.

The spelling of 2315045312 in words is "two billion, three hundred fifteen million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 71 92 136 142 184 272 284 368 391 544 568 736 782 1088 1136 1207 1303 1472 1564 1633 2272 2414 2606 3128 3266 4544 4828 5212 6256 6532 9656 10424 12512 13064 19312 20848 22151 25024 26128 27761 29969 38624 41696 44302 52256 55522 59938 77248 83392 88604 92513 104512 111044 119876 177208 185026 222088 239752 354416 370052 444176 479504 509473 708832 740104 888352 959008 1018946 1417664 1480208 1572721 1776704 1918016 2037892 2127799 2960416 3145442 4075784 4255598 5920832 6290884 8151568 8511196 12581768 16303136 17022392 25163536 32606272 34044784 36172583 50327072 68089568 72345166 100654144 136179136 144690332 289380664 578761328 1157522656 2315045312