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22231221000 = 2335353891571
BaseRepresentation
bin10100101101000101…
…011000001100001000
32010101022222001001120
4110231011120030020
5331012143033000
614113552115240
71414624155252
oct245505301410
963338861046
1022231221000
119478a4341a
124385235b20
132133a1ac51
14110c76ccd2
158a1aa36a0
hex52d158308

22231221000 has 256 divisors, whose sum is σ = 71509651200. Its totient is φ = 5747456000.

The previous prime is 22231220993. The next prime is 22231221013. The reversal of 22231221000 is 12213222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14150215 + ... + 14151785.

It is an arithmetic number, because the mean of its divisors is an integer number (279334575).

Almost surely, 222231221000 is an apocalyptic number.

22231221000 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 22231221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35754825600).

22231221000 is an abundant number, since it is smaller than the sum of its proper divisors (49278430200).

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

22231221000 is a wasteful number, since it uses less digits than its factorization.

22231221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22231221000 its reverse (12213222), we get a palindrome (22243434222).

The spelling of 22231221000 in words is "twenty-two billion, two hundred thirty-one million, two hundred twenty-one thousand".