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222221200000 = 27552919157
BaseRepresentation
bin1100111011110101101…
…0100110101010000000
3210020120222101121022211
43032331122212222000
512120102111400000
6250030443311504
722024564014442
oct3167532465200
9706528347284
10222221200000
118627508a6a8
123709951b594
1317c55c3bb27
14aa813a2492
155ba91e87ba
hex33bd6a6a80

222221200000 has 192 divisors, whose sum is σ = 572458282200. Its totient is φ = 85818880000.

The previous prime is 222221199983. The next prime is 222221200031. The reversal of 222221200000 is 2122222.

222221200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 165466714176 + 56754485824 = 406776^2 + 238232^2 .

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 23 ways as a sum of consecutive naturals, for example, 11590422 + ... + 11609578.

Almost surely, 2222221200000 is an apocalyptic number.

222221200000 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 222221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286229141100).

222221200000 is an abundant number, since it is smaller than the sum of its proper divisors (350237082200).

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

222221200000 is an frugal number, since it uses more digits than its factorization.

222221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19225 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 222221200000 its reverse (2122222), we get a palindrome (222223322222).

The spelling of 222221200000 in words is "two hundred twenty-two billion, two hundred twenty-one million, two hundred thousand".