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22232122020 = 223251011222889
BaseRepresentation
bin10100101101001000…
…110100001010100100
32010101101122211000200
4110231020310022210
5331012410401040
614114023310500
71414634630163
oct245510641244
963341584020
1022232122020
1194794a9369
1243855ab430
132133c750b4
14110c9253da
158a1bd0630
hex52d2342a4

22232122020 has 72 divisors (see below), whose sum is σ = 68105189880. Its totient is φ = 5869862400.

The previous prime is 22232122007. The next prime is 22232122027. The reversal of 22232122020 is 2022123222.

It can be written as a sum of positive squares in 4 ways, for example, as 1425213504 + 20806908516 = 37752^2 + 144246^2 .

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 = 22232121984 and 22232122002.

It is not an unprimeable number, because it can be changed into a prime (22232122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593265 + ... + 629624.

It is an arithmetic number, because the mean of its divisors is an integer number (945905415).

Almost surely, 222232122020 is an apocalyptic number.

22232122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232122020 is an abundant number, since it is smaller than the sum of its proper divisors (45873067860).

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

22232122020 is a wasteful number, since it uses less digits than its factorization.

22232122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223005 (or 1223000 counting only the distinct ones).

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

Adding to 22232122020 its reverse (2022123222), we get a palindrome (24254245242).

The spelling of 22232122020 in words is "twenty-two billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 1222889 2445778 3668667 4891556 6114445 7337334 11006001 12228890 14674668 18343335 22012002 24457780 36686670 44024004 55030005 73373340 110060010 123511789 220120020 247023578 370535367 494047156 617558945 741070734 1111606101 1235117890 1482141468 1852676835 2223212202 2470235780 3705353670 4446424404 5558030505 7410707340 11116061010 22232122020