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2232120120 = 2335132114081
BaseRepresentation
bin1000010100001011…
…0111001100111000
312202120010110011120
42011002313030320
514032410320440
61005254025240
7106212464556
oct20502671470
95676113146
102232120120
11a45a7897a
12523648220
13297599649
1417263cbd6
15d0e63dd0
hex850b7338

2232120120 has 64 divisors (see below), whose sum is σ = 6701905440. Its totient is φ = 594739200.

The previous prime is 2232120119. The next prime is 2232120131. The reversal of 2232120120 is 210212322.

It is a happy number.

It is a super-3 number, since 3×22321201203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2232120120.

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, 151480 + ... + 165560.

Almost surely, 22232120120 is an apocalyptic number.

2232120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232120120 is an abundant number, since it is smaller than the sum of its proper divisors (4469785320).

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

2232120120 is a wasteful number, since it uses less digits than its factorization.

2232120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2232120120 is about 47245.3184982385. The cubic root of 2232120120 is about 1306.8904589734.

Adding to 2232120120 its reverse (210212322), we get a palindrome (2442332442).

It can be divided in two parts, 22321201 and 20, that added together give a triangular number (22321221 = T6681).

The spelling of 2232120120 in words is "two billion, two hundred thirty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1321 2642 3963 5284 6605 7926 10568 13210 14081 15852 19815 26420 28162 31704 39630 42243 52840 56324 70405 79260 84486 112648 140810 158520 168972 211215 281620 337944 422430 563240 844860 1689720 18601001 37202002 55803003 74404004 93005005 111606006 148808008 186010010 223212012 279015015 372020020 446424024 558030030 744040040 1116060060 2232120120