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2313013248 = 211327213197
BaseRepresentation
bin1000100111011101…
…1100100000000000
312222012100020200100
42021313130200000
514214112410443
61021303522400
7111214200600
oct21167344000
95865306610
102313013248
11a876aa0a7
12546759400
132ab2803c0
1417d298c00
15d80e23d3
hex89ddc800

2313013248 has 432 divisors, whose sum is σ = 8411342940. Its totient is φ = 606928896.

The previous prime is 2313013243. The next prime is 2313013253. The reversal of 2313013248 is 8423103132.

2313013248 is a `hidden beast` number, since 2 + 31 + 301 + 324 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2313013243) and next prime (2313013253).

It can be written as a sum of positive squares in 2 ways, for example, as 2276434944 + 36578304 = 47712^2 + 6048^2 .

It is not an unprimeable number, because it can be changed into a prime (2313013243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741086 + ... + 11741282.

Almost surely, 22313013248 is an apocalyptic number.

2313013248 is a gapful number since it is divisible by the number (28) 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 2313013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205671470).

2313013248 is an abundant number, since it is smaller than the sum of its proper divisors (6098329692).

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

2313013248 is a wasteful number, since it uses less digits than its factorization.

2313013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2313013248 is about 48093.7963567028. The cubic root of 2313013248 is about 1322.4909438192.

The spelling of 2313013248 in words is "two billion, three hundred thirteen million, thirteen thousand, two hundred forty-eight".