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223332120000000 = 2933571121709
BaseRepresentation
bin110010110001111010001111…
…101011011111011000000000
31002021202100020102201221002000
4302301322033223133120000
5213233033140210000000
62110553205355224000
765020133062121064
oct6261721753373000
91067670212657060
10223332120000000
1165184690535800
122106b317148000
13978018956776b
143d21491ad9aa4
151ac45aab1a000
hexcb1e8fadf600

223332120000000 has 1920 divisors, whose sum is σ = 908829274953600. Its totient is φ = 54109440000000.

The previous prime is 223332119999993. The next prime is 223332120000013. The reversal of 223332120000000 is 21233322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130679999146 + ... + 130680000854.

It is an arithmetic number, because the mean of its divisors is an integer number (473348580705).

Almost surely, 2223332120000000 is an apocalyptic number.

223332120000000 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 223332120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454414637476800).

223332120000000 is an abundant number, since it is smaller than the sum of its proper divisors (685497154953600).

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

223332120000000 is an frugal number, since it uses more digits than its factorization.

223332120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1730 counting only the distinct ones).

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

Adding to 223332120000000 its reverse (21233322), we get a palindrome (223332141233322).

The spelling of 223332120000000 in words is "two hundred twenty-three trillion, three hundred thirty-two billion, one hundred twenty million", and thus it is an aban number.