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2190929832 = 23327131272633
BaseRepresentation
bin1000001010010110…
…1110111110101000
312122200121202201100
42002211232332220
513441334223312
61001223121400
7105202411350
oct20245567650
95580552640
102190929832
11a247a5013
125118a3260
1328bba70b0
1416ad99b60
15cc5295dc
hex8296efa8

2190929832 has 192 divisors, whose sum is σ = 7363399680. Its totient is φ = 573060096.

The previous prime is 2190929813. The next prime is 2190929869. The reversal of 2190929832 is 2389290912.

It is a happy number.

2190929832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830788 + ... + 833420.

It is an arithmetic number, because the mean of its divisors is an integer number (38351040).

Almost surely, 22190929832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190929832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681699840).

2190929832 is an abundant number, since it is smaller than the sum of its proper divisors (5172469848).

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

2190929832 is a wasteful number, since it uses less digits than its factorization.

2190929832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2190929832 is about 46807.3694197826. The cubic root of 2190929832 is about 1298.8016238481.

The spelling of 2190929832 in words is "two billion, one hundred ninety million, nine hundred twenty-nine thousand, eight hundred thirty-two".