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222132112000 = 2753293115443
BaseRepresentation
bin1100111011100000011…
…0110000101010000000
3210020100202202110120021
43032320012300222000
512114411310041000
6250013542023224
722022432540611
oct3167006605200
9706322673507
10222132112000
1186229871557
1237073717b14
1317c40649036
14aa73611c08
155ba149c11a
hex33b81b0a80

222132112000 has 256 divisors, whose sum is σ = 589787827200. Its totient is φ = 83016192000.

The previous prime is 222132111997. The next prime is 222132112001. The reversal of 222132112000 is 211231222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (222132112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376279 + ... + 14391721.

It is an arithmetic number, because the mean of its divisors is an integer number (2303858700).

Almost surely, 2222132112000 is an apocalyptic number.

222132112000 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 222132112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294893913600).

222132112000 is an abundant number, since it is smaller than the sum of its proper divisors (367655715200).

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

222132112000 is a wasteful number, since it uses less digits than its factorization.

222132112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222132112000 its reverse (211231222), we get a palindrome (222343343222).

The spelling of 222132112000 in words is "two hundred twenty-two billion, one hundred thirty-two million, one hundred twelve thousand".