Search a number
-
+
23332120 = 2357233623
BaseRepresentation
bin101100100000…
…0010100011000
31121220101122121
41121000110120
521433111440
62152031024
7402214450
oct131002430
947811577
1023332120
1112196849
127992474
134aabcb6
143154d60
1520ad34a
hex1640518

23332120 has 64 divisors (see below), whose sum is σ = 62622720. Its totient is φ = 7649664.

The previous prime is 23332117. The next prime is 23332121. The reversal of 23332120 is 2123332.

It is a junction number, because it is equal to n+sod(n) for n = 23332094 and 23332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332121) 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, 4629 + ... + 8251.

It is an arithmetic number, because the mean of its divisors is an integer number (978480).

Almost surely, 223332120 is an apocalyptic number.

23332120 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 23332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31311360).

23332120 is an abundant number, since it is smaller than the sum of its proper divisors (39290600).

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

23332120 is a wasteful number, since it uses less digits than its factorization.

23332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23332120 is about 4830.3333218319. Note that the first 4 decimals coincide. The cubic root of 23332120 is about 285.7490095892.

Adding to 23332120 its reverse (2123332), we get a palindrome (25455452).

The spelling of 23332120 in words is "twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 3623 6440 7246 14492 18115 25361 28984 36230 50722 72460 83329 101444 126805 144920 166658 202888 253610 333316 416645 507220 583303 666632 833290 1014440 1166606 1666580 2333212 2916515 3333160 4666424 5833030 11666060 23332120