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2112232320 = 2732511173753
BaseRepresentation
bin111110111100110…
…0001101110000000
312110012112112000200
41331321201232000
513311212413240
6545332245200
7103225451502
oct17571415600
95405475020
102112232320
11994333450
124ab470800
132787b1813
14160751d72
15c5681930
hex7de61b80

2112232320 has 768 divisors, whose sum is σ = 8815884480. Its totient is φ = 460062720.

The previous prime is 2112232319. The next prime is 2112232387. The reversal of 2112232320 is 232322112.

2112232320 is a `hidden beast` number, since 2 + 112 + 232 + 320 = 666.

2112232320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2112232293 and 2112232302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39853414 + ... + 39853466.

Almost surely, 22112232320 is an apocalyptic number.

2112232320 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 2112232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407942240).

2112232320 is an abundant number, since it is smaller than the sum of its proper divisors (6703652160).

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

2112232320 is a wasteful number, since it uses less digits than its factorization.

2112232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2112232320 is about 45959.0287103633. The cubic root of 2112232320 is about 1283.0607741103.

Adding to 2112232320 its reverse (232322112), we get a palindrome (2344554432).

It can be divided in two parts, 2112 and 232320, that added together give a palindrome (234432).

The spelling of 2112232320 in words is "two billion, one hundred twelve million, two hundred thirty-two thousand, three hundred twenty".