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222220022112 = 253211834192017
BaseRepresentation
bin1100111011110101011…
…0000111000101100000
3210020120220011202120100
43032331112013011200
512120101311201422
6250030402142400
722024551010404
oct3167526070540
9706526152510
10222220022112
1186274455740
1237099051a00
1317c5591895a
14aa81177104
155ba90647ac
hex33bd587160

222220022112 has 288 divisors, whose sum is σ = 699704853120. Its totient is φ = 66336399360.

The previous prime is 222220022077. The next prime is 222220022131. The reversal of 222220022112 is 211220022222.

222220022112 is a `hidden beast` number, since 222 + 220 + 0 + 221 + 1 + 2 = 666.

222220022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110172528 + ... + 110174544.

It is an arithmetic number, because the mean of its divisors is an integer number (2429530740).

Almost surely, 2222220022112 is an apocalyptic number.

222220022112 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 222220022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349852426560).

222220022112 is an abundant number, since it is smaller than the sum of its proper divisors (477484831008).

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

222220022112 is a wasteful number, since it uses less digits than its factorization.

222220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222220022112 its reverse (211220022222), we get a palindrome (433440044334).

The spelling of 222220022112 in words is "two hundred twenty-two billion, two hundred twenty million, twenty-two thousand, one hundred twelve".