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2314179252 = 22327211196277
BaseRepresentation
bin1000100111101111…
…1001001010110100
312222021112111010200
42021323321022310
514214412214002
61021344520500
7111230125200
oct21173711264
95867474120
102314179252
11a88326140
12547020130
132ab59b048
1417d4bdb00
15d8272b1c
hex89ef92b4

2314179252 has 216 divisors, whose sum is σ = 7815356640. Its totient is φ = 569358720.

The previous prime is 2314179223. The next prime is 2314179269. The reversal of 2314179252 is 2529714132.

2314179252 is a `hidden beast` number, since 231 + 4 + 179 + 252 = 666.

It is a super-2 number, since 2×23141792522 = 10710851220774559008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 365538 + ... + 371814.

Almost surely, 22314179252 is an apocalyptic number.

2314179252 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 2314179252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907678320).

2314179252 is an abundant number, since it is smaller than the sum of its proper divisors (5501177388).

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

2314179252 is a wasteful number, since it uses less digits than its factorization.

2314179252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6319 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2314179252 is about 48105.9170165168. The cubic root of 2314179252 is about 1322.7131317219.

The spelling of 2314179252 in words is "two billion, three hundred fourteen million, one hundred seventy-nine thousand, two hundred fifty-two".