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2315451040 = 25577572731
BaseRepresentation
bin1000101000000010…
…1111101010100000
312222100221002200221
42022000233222200
514220223413130
61021432052424
7111244003060
oct21200575240
95870832627
102315451040
11a89014701
12547534114
132ab924b96
1417d7313a0
15d842487a
hex8a02faa0

2315451040 has 96 divisors (see below), whose sum is σ = 6262268544. Its totient is φ = 792529920.

The previous prime is 2315451037. The next prime is 2315451059. The reversal of 2315451040 is 401545132.

It is a happy number.

It is a super-2 number, since 2×23154510402 = 10722627037274163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2315450996 and 2315451014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846475 + ... + 849205.

It is an arithmetic number, because the mean of its divisors is an integer number (65231964).

Almost surely, 22315451040 is an apocalyptic number.

2315451040 is a gapful number since it is divisible by the number (20) 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 2315451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131134272).

2315451040 is an abundant number, since it is smaller than the sum of its proper divisors (3946817504).

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

2315451040 is a wasteful number, since it uses less digits than its factorization.

2315451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2315451040 is about 48119.1338242907. The cubic root of 2315451040 is about 1322.9553922153.

Adding to 2315451040 its reverse (401545132), we get a palindrome (2716996172).

The spelling of 2315451040 in words is "two billion, three hundred fifteen million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 757 1120 1514 2731 3028 3785 5299 5462 6056 7570 10598 10924 12112 13655 15140 19117 21196 21848 24224 26495 27310 30280 38234 42392 43696 52990 54620 60560 76468 84784 87392 95585 105980 109240 121120 152936 169568 191170 211960 218480 305872 382340 423920 436960 611744 764680 847840 1529360 2067367 3058720 4134734 8269468 10336835 14471569 16538936 20673670 28943138 33077872 41347340 57886276 66155744 72357845 82694680 115772552 144715690 165389360 231545104 289431380 330778720 463090208 578862760 1157725520 2315451040