Search a number
-
+
2322992232 = 2332112933071
BaseRepresentation
bin1000101001110110…
…0000110001101000
312222220010020021100
42022131200301220
514224141222412
61022301441400
7111365052051
oct21235406150
95886106240
102322992232
11a922a54a0
12549b70260
132b0365522
14180735728
15d8e13edc
hex8a760c68

2322992232 has 48 divisors (see below), whose sum is σ = 6863388480. Its totient is φ = 703936800.

The previous prime is 2322992213. The next prime is 2322992237.

2322992232 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (2322992237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465744 + ... + 1467327.

It is an arithmetic number, because the mean of its divisors is an integer number (142987260).

Almost surely, 22322992232 is an apocalyptic number.

2322992232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2322992232 is an abundant number, since it is smaller than the sum of its proper divisors (4540396248).

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

2322992232 is a wasteful number, since it uses less digits than its factorization.

2322992232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933094 (or 2933087 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2322992232 is about 48197.4297240008. The cubic root of 2322992232 is about 1324.3900801743.

The spelling of 2322992232 in words is "two billion, three hundred twenty-two million, nine hundred ninety-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2933071 5866142 8799213 11732284 17598426 23464568 26397639 32263781 35196852 52795278 64527562 70393704 96791343 105590556 129055124 193582686 211181112 258110248 290374029 387165372 580748058 774330744 1161496116 2322992232