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22323020 = 22543101257
BaseRepresentation
bin101010100100…
…1111101001100
31120000010102112
41111021331030
521203314040
62114243152
7360512456
oct125117514
946003375
1022323020
1111667685
1275864b8
1348178b5
142d712d6
151e5e365
hex1549f4c

22323020 has 48 divisors (see below), whose sum is σ = 48631968. Its totient is φ = 8601600.

The previous prime is 22323019. The next prime is 22323029. The reversal of 22323020 is 2032322.

It is a super-3 number, since 3×223230203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322986 and 22323004.

It is not an unprimeable number, because it can be changed into a prime (22323029) by changing a digit.

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, 86732 + ... + 86988.

It is an arithmetic number, because the mean of its divisors is an integer number (1013166).

Almost surely, 222323020 is an apocalyptic number.

22323020 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 22323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24315984).

22323020 is an abundant number, since it is smaller than the sum of its proper divisors (26308948).

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

22323020 is a wasteful number, since it uses less digits than its factorization.

22323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 22323020 is about 4724.7243305827. The cubic root of 22323020 is about 281.5686613660.

Adding to 22323020 its reverse (2032322), we get a palindrome (24355342).

The spelling of 22323020 in words is "twenty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 257 404 430 505 514 860 1010 1028 1285 2020 2570 4343 5140 8686 11051 17372 21715 22102 25957 43430 44204 51914 55255 86860 103828 110510 129785 221020 259570 519140 1116151 2232302 4464604 5580755 11161510 22323020