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22329828 = 2232631983
BaseRepresentation
bin101010100101…
…1100111100100
31120000110202200
41111023213210
521204023303
62114334500
7360541353
oct125134744
946013680
1022329828
1111671804
12758a430
13481aa21
142d7399a
151e613a3
hex154b9e4

22329828 has 36 divisors (see below), whose sum is σ = 56591808. Its totient is φ = 7423920.

The previous prime is 22329821. The next prime is 22329829. The reversal of 22329828 is 82892322.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 22329792 and 22329801.

It is not an unprimeable number, because it can be changed into a prime (22329821) 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 11 ways as a sum of consecutive naturals, for example, 22225 + ... + 23207.

Almost surely, 222329828 is an apocalyptic number.

It is an amenable number.

22329828 is an abundant number, since it is smaller than the sum of its proper divisors (34261980).

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

22329828 is a wasteful number, since it uses less digits than its factorization.

22329828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22329828 is about 4725.4447409741. Note that the first 3 decimals coincide. The cubic root of 22329828 is about 281.5972824129.

The spelling of 22329828 in words is "twenty-two million, three hundred twenty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 631 983 1262 1893 1966 2524 2949 3786 3932 5679 5898 7572 8847 11358 11796 17694 22716 35388 620273 1240546 1860819 2481092 3721638 5582457 7443276 11164914 22329828