Search a number
-
+
2332120032 = 253311245383
BaseRepresentation
bin1000101100000001…
…0101001111100000
320000112021222021000
42023000111033200
514234010320112
61023225232000
7111535456524
oct21300251740
96015258230
102332120032
11a9746a330
12551032600
132b22100a8
14181a2dd84
15d9b187dc
hex8b0153e0

2332120032 has 96 divisors (see below), whose sum is σ = 7420412160. Its totient is φ = 706700160.

The previous prime is 2332120009. The next prime is 2332120069. The reversal of 2332120032 is 2300212332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2332119987 and 2332120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113188 + ... + 132195.

It is an arithmetic number, because the mean of its divisors is an integer number (77295960).

Almost surely, 22332120032 is an apocalyptic number.

2332120032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2332120032 is an abundant number, since it is smaller than the sum of its proper divisors (5088292128).

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

2332120032 is a wasteful number, since it uses less digits than its factorization.

2332120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245413 (or 245399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2332120032 is about 48292.0286589826. The cubic root of 2332120032 is about 1326.1224677534.

Adding to 2332120032 its reverse (2300212332), we get a palindrome (4632332364).

The spelling of 2332120032 in words is "two billion, three hundred thirty-two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 245383 490766 736149 981532 1472298 1963064 2208447 2699213 2944596 3926128 4416894 5398426 5889192 6625341 7852256 8097639 8833788 10796852 11778384 13250682 16195278 17667576 21593704 23556768 24292917 26501364 32390556 35335152 43187408 48585834 53002728 64781112 70670304 72878751 86374816 97171668 106005456 129562224 145757502 194343336 212010912 259124448 291515004 388686672 583030008 777373344 1166060016 2332120032