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22232120022 = 232717233114557
BaseRepresentation
bin10100101101001000…
…110011101011010110
32010101101122201021200
4110231020303223112
5331012410320042
614114023253330
71414634621310
oct245510635326
963341581250
1022232120022
1194794a7912
1243855aa246
132133c74208
14110c9247b0
158a1bcec4c
hex52d233ad6

22232120022 has 192 divisors, whose sum is σ = 62789935104. Its totient is φ = 5533608960.

The previous prime is 22232120017. The next prime is 22232120051. The reversal of 22232120022 is 22002123222.

It is a super-2 number, since 2×222321200222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22232119977 and 22232120004.

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, 1519968 + ... + 1534524.

It is an arithmetic number, because the mean of its divisors is an integer number (327030912).

Almost surely, 222232120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394967552).

22232120022 is an abundant number, since it is smaller than the sum of its proper divisors (40557815082).

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

22232120022 is a wasteful number, since it uses less digits than its factorization.

22232120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22232120022 its reverse (22002123222), we get a palindrome (44234243244).

The spelling of 22232120022 in words is "twenty-two billion, two hundred thirty-two million, one hundred twenty thousand, twenty-two".