Search a number
-
+
23923200 = 29352789
BaseRepresentation
bin101101101000…
…0101000000000
31200000102110110
41123100220000
522111020300
62212431320
7410225640
oct133205000
950012413
1023923200
111255a944
128018540
134c58052
14326a520
152178550
hex16d0a00

23923200 has 240 divisors, whose sum is σ = 91333440. Its totient is φ = 5406720.

The previous prime is 23923181. The next prime is 23923219. The reversal of 23923200 is 232932.

It is an interprime number because it is at equal distance from previous prime (23923181) and next prime (23923219).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268756 + ... + 268844.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 223923200 is an apocalyptic number.

23923200 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 23923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666720).

23923200 is an abundant number, since it is smaller than the sum of its proper divisors (67410240).

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

23923200 is an equidigital number, since it uses as much as digits as its factorization.

23923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23923200 is about 4891.1348376425. The cubic root of 23923200 is about 288.1419053765.

The spelling of 23923200 in words is "twenty-three million, nine hundred twenty-three thousand, two hundred".