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222000002120 = 23513239782721
BaseRepresentation
bin1100111011000000111…
…0110011010001001000
3210020000120011120212202
43032300032303101020
512114124000031440
6245552502255332
722016236611611
oct3166016632110
9706016146782
10222000002120
1186171239436
1237037427548
1317c1c172100
14aa5dc62c08
155b94aa3615
hex33b03b3448

222000002120 has 96 divisors (see below), whose sum is σ = 542247673320. Its totient is φ = 81761771520.

The previous prime is 222000002083. The next prime is 222000002149. The reversal of 222000002120 is 21200000222.

It can be written as a sum of positive squares in 12 ways, for example, as 7058352196 + 214941649924 = 84014^2 + 463618^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642360 + ... + 2725080.

Almost surely, 2222000002120 is an apocalyptic number.

222000002120 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 222000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271123836660).

222000002120 is an abundant number, since it is smaller than the sum of its proper divisors (320247671200).

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

222000002120 is a wasteful number, since it uses less digits than its factorization.

222000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83155 (or 83138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222000002120 its reverse (21200000222), we get a palindrome (243200002342).

The spelling of 222000002120 in words is "two hundred twenty-two billion, two thousand, one hundred twenty".