Search a number
-
+
23393700 = 2232521117139
BaseRepresentation
bin101100100111…
…1010110100100
31122000112010100
41121033112210
521442044300
62153224100
7402562131
oct131172644
948015110
1023393700
1112229040
127a02030
134b01035
14316d588
1520c1700
hex164f5a4

23393700 has 216 divisors, whose sum is σ = 85307040. Its totient is φ = 5299200.

The previous prime is 23393687. The next prime is 23393701. The reversal of 23393700 is 739332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23393701) 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 71 ways as a sum of consecutive naturals, for example, 168231 + ... + 168369.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 223393700 is an apocalyptic number.

23393700 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 23393700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

23393700 is an abundant number, since it is smaller than the sum of its proper divisors (61913340).

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

23393700 is a wasteful number, since it uses less digits than its factorization.

23393700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 23393700 is about 4836.7034227871. The cubic root of 23393700 is about 286.0001793078. Note that the first 3 decimals are identical.

The spelling of 23393700 in words is "twenty-three million, three hundred ninety-three thousand, seven hundred".