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2314521132 = 2237113180803
BaseRepresentation
bin1000100111110100…
…1100101000101100
312222022011212002220
42021331030220230
514220004134012
61021400115340
7111233051010
oct21175145054
95868155086
102314521132
11a88539a90
12547165b50
132ab68a841
1417d56c540
15d82de08c
hex89f4ca2c

2314521132 has 96 divisors (see below), whose sum is σ = 6950436864. Its totient is φ = 581774400.

The previous prime is 2314521071. The next prime is 2314521149. The reversal of 2314521132 is 2311254132.

It is a super-2 number, since 2×23145211322 = 10714016140949122848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11758 + ... + 69045.

It is an arithmetic number, because the mean of its divisors is an integer number (72400384).

Almost surely, 22314521132 is an apocalyptic number.

2314521132 is a gapful number since it is divisible by the number (22) 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 2314521132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475218432).

2314521132 is an abundant number, since it is smaller than the sum of its proper divisors (4635915732).

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

2314521132 is a wasteful number, since it uses less digits than its factorization.

2314521132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80859 (or 80857 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2314521132 is about 48109.4702943194. The cubic root of 2314521132 is about 1322.7782645184.

Adding to 2314521132 its reverse (2311254132), we get a palindrome (4625775264).

The spelling of 2314521132 in words is "two billion, three hundred fourteen million, five hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 9548 14322 28644 80803 161606 242409 323212 484818 565621 888833 969636 1131242 1696863 1777666 2262484 2504893 2666499 3393726 3555332 5009786 5332998 6221831 6787452 7514679 10019572 10665996 12443662 15029358 17534251 18665493 24887324 27553823 30058716 35068502 37330986 52602753 55107646 70137004 74661972 82661469 105205506 110215292 165322938 192876761 210411012 330645876 385753522 578630283 771507044 1157260566 2314521132