Search a number
-
+
23299920 = 2433572367
BaseRepresentation
bin101100011100…
…0011101010000
31121211202111000
41120320131100
521431044140
62151222000
7402021540
oct130703520
947752430
1023299920
1112174636
127977900
134a9a447
143147320
1520a3a30
hex1638750

23299920 has 320 divisors, whose sum is σ = 97136640. Its totient is φ = 5018112.

The previous prime is 23299919. The next prime is 23299951. The reversal of 23299920 is 2999232.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 347727 + ... + 347793.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 223299920 is an apocalyptic number.

23299920 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 23299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

23299920 is an abundant number, since it is smaller than the sum of its proper divisors (73836720).

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

23299920 is a wasteful number, since it uses less digits than its factorization.

23299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23299920 is about 4826.9990677439. Note that the first 3 decimals coincide. The cubic root of 23299920 is about 285.6174976922.

The spelling of 23299920 in words is "twenty-three million, two hundred ninety-nine thousand, nine hundred twenty".