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2260231413 = 3111723592969
BaseRepresentation
bin1000011010111000…
…0110010011110101
312211112000122121120
42012232012103311
514112104401123
61012140334153
7110003435646
oct20656062365
95745018546
102260231413
11a5a929350
12530b44359
132a035ca4b
141762796cd
15d36682e3
hex86b864f5

2260231413 has 64 divisors (see below), whose sum is σ = 3695155200. Its totient is φ = 1211893760.

The previous prime is 2260231411. The next prime is 2260231417. The reversal of 2260231413 is 3141320622.

2260231413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2260231413 - 21 = 2260231411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260231411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759793 + ... + 762761.

It is an arithmetic number, because the mean of its divisors is an integer number (57736800).

Almost surely, 22260231413 is an apocalyptic number.

2260231413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2260231413 is a deficient number, since it is larger than the sum of its proper divisors (1434923787).

2260231413 is a wasteful number, since it uses less digits than its factorization.

2260231413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2260231413 is about 47541.8911382372. The cubic root of 2260231413 is about 1312.3539079480.

The spelling of 2260231413 in words is "two billion, two hundred sixty million, two hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 11 17 23 33 51 59 69 177 187 253 391 561 649 759 1003 1173 1357 1947 2969 3009 4071 4301 8907 11033 12903 14927 23069 32659 33099 44781 50473 68287 69207 97977 151419 175171 204861 253759 525513 555203 751157 761277 1160879 1665609 1926881 2253471 2977907 3482637 4028933 5780643 8933721 12086799 12769669 32756977 38309007 44318263 68491861 98270931 132954789 205475583 753410471 2260231413