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2311314080 = 25525756209
BaseRepresentation
bin1000100111000011…
…1101101010100000
312222002010220212012
42021300331222200
514213144022310
61021203252052
7111163563005
oct21160755240
95862126765
102311314080
11a86749529
1254607a028
132aab06b8a
1417cd758ac
15d7da8c05
hex89c3daa0

2311314080 has 48 divisors (see below), whose sum is σ = 5481824040. Its totient is φ = 920911872.

The previous prime is 2311314079. The next prime is 2311314107. The reversal of 2311314080 is 804131132.

It can be written as a sum of positive squares in 4 ways, for example, as 2310532624 + 781456 = 48068^2 + 884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13016 + ... + 69224.

Almost surely, 22311314080 is an apocalyptic number.

2311314080 is a gapful number since it is divisible by the number (20) 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 2311314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740912020).

2311314080 is an abundant number, since it is smaller than the sum of its proper divisors (3170509960).

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

2311314080 is a wasteful number, since it uses less digits than its factorization.

2311314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56481 (or 56473 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2311314080 is about 48076.1279638866. The cubic root of 2311314080 is about 1322.1670251133.

It can be divided in two parts, 231 and 1314080, that multiplied together give a triangular number (303552480 = T24639).

The spelling of 2311314080 in words is "two billion, three hundred eleven million, three hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 1028 1285 2056 2570 4112 5140 8224 10280 20560 41120 56209 112418 224836 281045 449672 562090 899344 1124180 1798688 2248360 4496720 8993440 14445713 28891426 57782852 72228565 115565704 144457130 231131408 288914260 462262816 577828520 1155657040 2311314080