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23321920 = 265312351
BaseRepresentation
bin101100011110…
…1110101000000
31121212212122211
41120331311000
521432300140
62151511504
7402142636
oct130756500
947785584
1023321920
111218a116
127988594
134aa746b
143151356
1520aa2ea
hex163dd40

23321920 has 56 divisors (see below), whose sum is σ = 57351168. Its totient is φ = 9024000.

The previous prime is 23321833. The next prime is 23321939. The reversal of 23321920 is 2912332.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23321891 and 23321900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8745 + ... + 11095.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 223321920 is an apocalyptic number.

23321920 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 23321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28675584).

23321920 is an abundant number, since it is smaller than the sum of its proper divisors (34029248).

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

23321920 is a wasteful number, since it uses less digits than its factorization.

23321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 23321920 is about 4829.2773786561. The cubic root of 23321920 is about 285.7073636418.

The spelling of 23321920 in words is "twenty-three million, three hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2351 2480 4702 4960 9404 9920 11755 18808 23510 37616 47020 72881 75232 94040 145762 150464 188080 291524 364405 376160 583048 728810 752320 1166096 1457620 2332192 2915240 4664384 5830480 11660960 23321920