Search a number
-
+
2334592920 = 23351123131587
BaseRepresentation
bin1000101100100111…
…0000111110011000
320000200221121102110
42023021300332120
514240123433140
61023354232320
7111565466232
oct21311607630
96020847373
102334592920
11a988a9240
12551a256a0
132b289783a
141820b5252
15d9e56380
hex8b270f98

2334592920 has 256 divisors, whose sum is σ = 8047226880. Its totient is φ = 536307200.

The previous prime is 2334592879. The next prime is 2334592927. The reversal of 2334592920 is 292954332.

It is a super-2 number, since 2×23345929202 = 10900648204228252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334592927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3976867 + ... + 3977453.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 22334592920 is an apocalyptic number.

2334592920 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 2334592920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

2334592920 is an abundant number, since it is smaller than the sum of its proper divisors (5712633960).

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

2334592920 is a wasteful number, since it uses less digits than its factorization.

2334592920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 2334592920 is about 48317.6253555574. The cubic root of 2334592920 is about 1326.5910248139.

The spelling of 2334592920 in words is "two billion, three hundred thirty-four million, five hundred ninety-two thousand, nine hundred twenty".