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2131114896 = 243238472
BaseRepresentation
bin111111100000110…
…0011101110010000
312111112001212001100
41333001203232100
513331031134041
6551245104400
7103545114651
oct17701435620
95445055040
102131114896
119a3a60189
124b5858100
1327c693441
14163069528
15c71616b6
hex7f063b90

2131114896 has 45 divisors (see below), whose sum is σ = 5965712571. Its totient is φ = 710186976.

The previous prime is 2131114891. The next prime is 2131114903. The reversal of 2131114896 is 6984111312.

The square root of 2131114896 is 46164.

It is a perfect power (a square), and thus also a powerful number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2131114896.

It is not an unprimeable number, because it can be changed into a prime (2131114891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 552045 + ... + 555891.

Almost surely, 22131114896 is an apocalyptic number.

2131114896 is the 46164-th square number.

It is an amenable number.

2131114896 is an abundant number, since it is smaller than the sum of its proper divisors (3834597675).

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

2131114896 is an frugal number, since it uses more digits than its factorization.

2131114896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 3852 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The cubic root of 2131114896 is about 1286.8728001896.

Multiplying 2131114896 by its sum of digits (36), we get a square (76720136256 = 2769842).

2131114896 divided by its sum of digits (36) gives a square (59197636 = 76942).

The spelling of 2131114896 in words is "two billion, one hundred thirty-one million, one hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3847 7694 11541 15388 23082 30776 34623 46164 61552 69246 92328 138492 184656 276984 553968 14799409 29598818 44398227 59197636 88796454 118395272 133194681 177592908 236790544 266389362 355185816 532778724 710371632 1065557448 2131114896