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222013442112 = 263711139108037
BaseRepresentation
bin1100111011000100001…
…0000100100001000000
3210020001111110102002020
43032301002010201000
512114140420121422
6245554102321440
722016462056350
oct3166102044100
9706044412066
10222013442112
1186178889070
123703ba29280
1317c21b99677
14aa61960b60
155b95d5a95c
hex33b1084840

222013442112 has 224 divisors, whose sum is σ = 737631605760. Its totient is φ = 57250437120.

The previous prime is 222013442107. The next prime is 222013442153. The reversal of 222013442112 is 211244310222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000958 + ... + 2108994.

It is an arithmetic number, because the mean of its divisors is an integer number (3292998240).

Almost surely, 2222013442112 is an apocalyptic number.

222013442112 is a gapful number since it is divisible by the number (22) 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 222013442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368815802880).

222013442112 is an abundant number, since it is smaller than the sum of its proper divisors (515618163648).

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

222013442112 is a wasteful number, since it uses less digits than its factorization.

222013442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108209 (or 108199 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 222013442112 its reverse (211244310222), we get a palindrome (433257752334).

The spelling of 222013442112 in words is "two hundred twenty-two billion, thirteen million, four hundred forty-two thousand, one hundred twelve".