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2315412000 = 253353111949
BaseRepresentation
bin1000101000000010…
…0110001000100000
312222100212010011000
42022000212020200
514220221141000
61021431152000
7111243451206
oct21200461040
95870763130
102315412000
11a88a98340
12547515600
132ab910195
1417d721076
15d8418000
hex8a026220

2315412000 has 384 divisors, whose sum is σ = 9199008000. Its totient is φ = 561024000.

The previous prime is 2315411977. The next prime is 2315412037. The reversal of 2315412000 is 2145132.

It is a super-2 number, since 2×23154120002 = 10722265459488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187026 + ... + 1188974.

It is an arithmetic number, because the mean of its divisors is an integer number (23955750).

Almost surely, 22315412000 is an apocalyptic number.

2315412000 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 2315412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504000).

2315412000 is an abundant number, since it is smaller than the sum of its proper divisors (6883596000).

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

2315412000 is a wasteful number, since it uses less digits than its factorization.

2315412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2315412000 is about 48118.7281627435. The cubic root of 2315412000 is about 1322.9479568794.

Adding to 2315412000 its reverse (2145132), we get a palindrome (2317557132).

The spelling of 2315412000 in words is "two billion, three hundred fifteen million, four hundred twelve thousand".