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2232120000 = 26354111989
BaseRepresentation
bin1000010100001011…
…0111001011000000
312202120010110000010
42011002313023000
514032410320000
61005254024520
7106212464325
oct20502671300
95676113003
102232120000
11a45a78880
12523648140
13297599586
1417263cb4c
15d0e63d50
hex850b72c0

2232120000 has 560 divisors, whose sum is σ = 8569756800. Its totient is φ = 506880000.

The previous prime is 2232119999. The next prime is 2232120013. The reversal of 2232120000 is 212322.

It is a super-3 number, since 3×22321200003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25079956 + ... + 25080044.

Almost surely, 22232120000 is an apocalyptic number.

2232120000 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 2232120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284878400).

2232120000 is an abundant number, since it is smaller than the sum of its proper divisors (6337636800).

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

2232120000 is a wasteful number, since it uses less digits than its factorization.

2232120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2232120000 is about 47245.3172282714. The cubic root of 2232120000 is about 1306.8904355536.

Adding to 2232120000 its reverse (212322), we get a palindrome (2232332322).

The spelling of 2232120000 in words is "two billion, two hundred thirty-two million, one hundred twenty thousand".