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2314093152 = 25373443591
BaseRepresentation
bin1000100111101110…
…0100001001100000
312222021101010000210
42021323210021200
514214401440102
61021343014120
7111226316160
oct21173441140
95867333023
102314093152
11a88277488
12546b9a340
132ab56aab7
1417d49a5a0
15d825736c
hex89ee4260

2314093152 has 48 divisors (see below), whose sum is σ = 6942281472. Its totient is φ = 661169280.

The previous prime is 2314093147. The next prime is 2314093157. The reversal of 2314093152 is 2513904132.

It is an interprime number because it is at equal distance from previous prime (2314093147) and next prime (2314093157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23140931522 = 10710054232266590208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314093157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1721124 + ... + 1722467.

It is an arithmetic number, because the mean of its divisors is an integer number (144630864).

Almost surely, 22314093152 is an apocalyptic number.

It is an amenable number.

2314093152 is an abundant number, since it is smaller than the sum of its proper divisors (4628188320).

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

2314093152 is a wasteful number, since it uses less digits than its factorization.

2314093152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443611 (or 3443603 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2314093152 is about 48105.0221078839. The cubic root of 2314093152 is about 1322.6967274880.

Adding to 2314093152 its reverse (2513904132), we get a palindrome (4827997284).

The spelling of 2314093152 in words is "two billion, three hundred fourteen million, ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3443591 6887182 10330773 13774364 20661546 24105137 27548728 41323092 48210274 55097456 72315411 82646184 96420548 110194912 144630822 165292368 192841096 289261644 330584736 385682192 578523288 771364384 1157046576 2314093152