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2261464314 = 234753831823
BaseRepresentation
bin1000011011001011…
…0011010011111010
312211121100021211120
42012302303103322
514112413324224
61012223010110
7110020062264
oct20662632372
95747307746
102261464314
11a605a067a
12531439936
132a06a1c85
141764bab34
15d380d779
hex86cb34fa

2261464314 has 64 divisors (see below), whose sum is σ = 4765630464. Its totient is φ = 714748736.

The previous prime is 2261464313. The next prime is 2261464319. The reversal of 2261464314 is 4134641622.

It is a happy number.

It is a super-2 number, since 2×22614643142 = 10228441686990981192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2261464313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239607 + ... + 1241429.

It is an arithmetic number, because the mean of its divisors is an integer number (74462976).

Almost surely, 22261464314 is an apocalyptic number.

2261464314 is an abundant number, since it is smaller than the sum of its proper divisors (2504166150).

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

2261464314 is a wasteful number, since it uses less digits than its factorization.

2261464314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011.

The product of its digits is 27648, while the sum is 33.

The square root of 2261464314 is about 47554.8558403871. The cubic root of 2261464314 is about 1312.5924835693.

The spelling of 2261464314 in words is "two billion, two hundred sixty-one million, four hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 47 53 83 94 106 141 159 166 249 282 318 498 1823 2491 3646 3901 4399 4982 5469 7473 7802 8798 10938 11703 13197 14946 23406 26394 85681 96619 151309 171362 193238 206753 257043 289857 302618 413506 453927 514086 579714 620259 907854 1240518 4541093 7111523 8019377 9082186 13623279 14223046 16038754 21334569 24058131 27246558 42669138 48116262 376910719 753821438 1130732157 2261464314