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23193700 = 2252415657
BaseRepresentation
bin101100001111…
…0100001100100
31121122100202221
41120132201210
521414144300
62145042124
7401100055
oct130364144
947570687
1023193700
1112101852
127926344
134a60caa
14311a72c
15208231a
hex161e864

23193700 has 36 divisors (see below), whose sum is σ = 51567012. Its totient is φ = 9049600.

The previous prime is 23193697. The next prime is 23193713. The reversal of 23193700 is 739132.

It can be written as a sum of positive squares in 6 ways, for example, as 8631844 + 14561856 = 2938^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 6928.

It is an arithmetic number, because the mean of its divisors is an integer number (1432417).

Almost surely, 223193700 is an apocalyptic number.

23193700 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 23193700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783506).

23193700 is an abundant number, since it is smaller than the sum of its proper divisors (28373312).

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

23193700 is a wasteful number, since it uses less digits than its factorization.

23193700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 23193700 is about 4815.9838039595. The cubic root of 23193700 is about 285.1828107930.

The spelling of 23193700 in words is "twenty-three million, one hundred ninety-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5657 11314 22628 28285 56570 113140 141425 231937 282850 463874 565700 927748 1159685 2319370 4638740 5798425 11596850 23193700