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222221331000 = 233253172363149
BaseRepresentation
bin1100111011110101101…
…1000110101000111000
3210020120222122021000200
43032331123012220320
512120102130043000
6250030450202200
722024565101404
oct3167533065070
9706528567020
10222221331000
118627516a069
1237099583360
1317c55c86646
14aa813d8104
155ba9222500
hex33bd6c6a38

222221331000 has 384 divisors, whose sum is σ = 829881936000. Its totient is φ = 53347430400.

The previous prime is 222221330999. The next prime is 222221331019. The reversal of 222221331000 is 133122222.

It is a super-2 number, since 2×2222213310002 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3487426 + ... + 3550574.

It is an arithmetic number, because the mean of its divisors is an integer number (2161150875).

Almost surely, 2222221331000 is an apocalyptic number.

222221331000 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 222221331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414940968000).

222221331000 is an abundant number, since it is smaller than the sum of its proper divisors (607660605000).

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

222221331000 is a wasteful number, since it uses less digits than its factorization.

222221331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63216 (or 63199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222221331000 its reverse (133122222), we get a palindrome (222354453222).

The spelling of 222221331000 in words is "two hundred twenty-two billion, two hundred twenty-one million, three hundred thirty-one thousand".