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2142260832 = 25322315217
BaseRepresentation
bin111111110110000…
…0100111001100000
312112022001010101210
41333230010321200
513341404321312
6552324030120
7104041626255
oct17754047140
95468033353
102142260832
119aa2832a8
124b9532340
13281a9677a
1416472b42c
15c8113e3c
hex7fb04e60

2142260832 has 24 divisors (see below), whose sum is σ = 5623434936. Its totient is φ = 714086912.

The previous prime is 2142260759. The next prime is 2142260833. The reversal of 2142260832 is 2380622412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2142260832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142260833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11157513 + ... + 11157704.

It is an arithmetic number, because the mean of its divisors is an integer number (234309789).

Almost surely, 22142260832 is an apocalyptic number.

It is an amenable number.

2142260832 is an abundant number, since it is smaller than the sum of its proper divisors (3481174104).

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

2142260832 is a wasteful number, since it uses less digits than its factorization.

2142260832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22315230 (or 22315222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2142260832 is about 46284.5636470735. The cubic root of 2142260832 is about 1289.1123898229.

The spelling of 2142260832 in words is "two billion, one hundred forty-two million, two hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22315217 44630434 66945651 89260868 133891302 178521736 267782604 357043472 535565208 714086944 1071130416 2142260832