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22330820 = 2251116541
BaseRepresentation
bin101010100101…
…1110111000100
31120000112010102
41111023313010
521204041240
62114343232
7360544301
oct125136704
946015112
1022330820
1111672526
12758ab18
13481b305
142d740a8
151e61815
hex154bdc4

22330820 has 12 divisors (see below), whose sum is σ = 46894764. Its totient is φ = 8932320.

The previous prime is 22330807. The next prime is 22330831. The reversal of 22330820 is 2803322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16532356 + 5798464 = 4066^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1116541 = 22330820 / (2 + 2 + 3 + 3 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 22330792 and 22330801.

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 3 ways as a sum of consecutive naturals, for example, 558251 + ... + 558290.

It is an arithmetic number, because the mean of its divisors is an integer number (3907897).

Almost surely, 222330820 is an apocalyptic number.

22330820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330820 is an abundant number, since it is smaller than the sum of its proper divisors (24563944).

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

22330820 is a wasteful number, since it uses less digits than its factorization.

22330820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116550 (or 1116548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 22330820 is about 4725.5497034737. The cubic root of 22330820 is about 281.6014523266.

The spelling of 22330820 in words is "twenty-two million, three hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1116541 2233082 4466164 5582705 11165410 22330820