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23385780 = 223351131127
BaseRepresentation
bin101100100110…
…1011010110100
31122000010021000
41121031122310
521441321110
62153123300
7402530055
oct131153264
948003230
1023385780
11122230a0
1279b9530
134aca552
14316a72c
1520be1c0
hex164d6b4

23385780 has 192 divisors, whose sum is σ = 82575360. Its totient is φ = 5443200.

The previous prime is 23385737. The next prime is 23385781. The reversal of 23385780 is 8758332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23385781) 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 63 ways as a sum of consecutive naturals, for example, 184077 + ... + 184203.

It is an arithmetic number, because the mean of its divisors is an integer number (430080).

Almost surely, 223385780 is an apocalyptic number.

23385780 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 23385780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287680).

23385780 is an abundant number, since it is smaller than the sum of its proper divisors (59189580).

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

23385780 is a wasteful number, since it uses less digits than its factorization.

23385780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 23385780 is about 4835.8846140081. The cubic root of 23385780 is about 285.9679002883.

It can be divided in two parts, 2338 and 5780, that added together give a palindrome (8118).

The spelling of 23385780 in words is "twenty-three million, three hundred eighty-five thousand, seven hundred eighty".