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22231312020 = 22325123507289
BaseRepresentation
bin10100101101000101…
…101110011010010100
32010101100010122220200
4110231011232122110
5331012203441040
614113554100500
71414625014521
oct245505563224
963340118820
1022231312020
119478aa5845
12438527a730
132133a504c8
14110c794148
158a1ac0630
hex52d16e694

22231312020 has 36 divisors (see below), whose sum is σ = 67434980340. Its totient is φ = 5928349824.

The previous prime is 22231312003. The next prime is 22231312057. The reversal of 22231312020 is 2021313222.

It can be written as a sum of positive squares in 2 ways, for example, as 14047938576 + 8183373444 = 118524^2 + 90462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 22231311984 and 22231312002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61753465 + ... + 61753824.

Almost surely, 222231312020 is an apocalyptic number.

22231312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22231312020 is an abundant number, since it is smaller than the sum of its proper divisors (45203668320).

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

22231312020 is a wasteful number, since it uses less digits than its factorization.

22231312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123507304 (or 123507299 counting only the distinct ones).

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

Adding to 22231312020 its reverse (2021313222), we get a palindrome (24252625242).

The spelling of 22231312020 in words is "twenty-two billion, two hundred thirty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 123507289 247014578 370521867 494029156 617536445 741043734 1111565601 1235072890 1482087468 1852609335 2223131202 2470145780 3705218670 4446262404 5557828005 7410437340 11115656010 22231312020