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22222121000 = 2353101220021
BaseRepresentation
bin10100101100100010…
…101010100000101000
32010100200211201012112
4110230202222200220
5331002330333000
614113025101452
71414453624532
oct245442524050
963320751175
1022222121000
119473898462
124382187888
132131b82c31
14110b480852
158a0da7235
hex52c8aa828

22222121000 has 64 divisors (see below), whose sum is σ = 52514850960. Its totient is φ = 8800800000.

The previous prime is 22222120997. The next prime is 22222121027. The reversal of 22222121000 is 12122222.

It can be written as a sum of positive squares in 8 ways, for example, as 7504063876 + 14718057124 = 86626^2 + 121318^2 .

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 15 ways as a sum of consecutive naturals, for example, 9011 + ... + 211010.

Almost surely, 222222121000 is an apocalyptic number.

22222121000 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 22222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26257425480).

22222121000 is an abundant number, since it is smaller than the sum of its proper divisors (30292729960).

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

22222121000 is a wasteful number, since it uses less digits than its factorization.

22222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220143 (or 220129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22222121000 its reverse (12122222), we get a palindrome (22234243222).

The spelling of 22222121000 in words is "twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 220021 440042 880084 1100105 1760168 2200210 4400420 5500525 8800840 11001050 22002100 22222121 27502625 44004200 44444242 55005250 88888484 110010500 111110605 177776968 220021000 222221210 444442420 555553025 888884840 1111106050 2222212100 2777765125 4444424200 5555530250 11111060500 22222121000