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23330120 = 23511173119
BaseRepresentation
bin101100011111…
…1110101001000
31121220021220112
41120333311020
521433030440
62152013452
7402205562
oct130776510
947807815
1023330120
11121952a0
127991288
134aab108
143154332
1520ac965
hex163fd48

23330120 has 64 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 7982080.

The previous prime is 23330117. The next prime is 23330129. The reversal of 23330120 is 2103332.

It is a junction number, because it is equal to n+sod(n) for n = 23330095 and 23330104.

It is not an unprimeable number, because it can be changed into a prime (23330129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5921 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 223330120 is an apocalyptic number.

23330120 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 23330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

23330120 is an abundant number, since it is smaller than the sum of its proper divisors (37322680).

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

23330120 is a wasteful number, since it uses less digits than its factorization.

23330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23330120 is about 4830.1262923447. The cubic root of 23330120 is about 285.7408446740.

Adding to 23330120 its reverse (2103332), we get a palindrome (25433452).

The spelling of 23330120 in words is "twenty-three million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3119 3740 6238 7480 12476 15595 24952 31190 34309 53023 62380 68618 106046 124760 137236 171545 212092 265115 274472 343090 424184 530230 583253 686180 1060460 1166506 1372360 2120920 2333012 2916265 4666024 5832530 11665060 23330120