Search a number
-
+
23339333400 = 23352297916979
BaseRepresentation
bin10101101111001000…
…011111011100011000
32020020120001222111120
4111233020133130120
5340244332132100
614415534525240
71454241026535
oct255710373430
966216058446
1023339333400
119997499699
124634366820
13227c47c266
1411b59bdd8c
15918edd0a0
hex56f21f718

23339333400 has 192 divisors, whose sum is σ = 75798720000. Its totient is φ = 5932792320.

The previous prime is 23339333363. The next prime is 23339333401. The reversal of 23339333400 is 433393332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23339333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366111 + ... + 1383089.

It is an arithmetic number, because the mean of its divisors is an integer number (394785000).

Almost surely, 223339333400 is an apocalyptic number.

23339333400 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 23339333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37899360000).

23339333400 is an abundant number, since it is smaller than the sum of its proper divisors (52459386600).

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

23339333400 is a wasteful number, since it uses less digits than its factorization.

23339333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17106 (or 17097 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 33.

The spelling of 23339333400 in words is "twenty-three billion, three hundred thirty-nine million, three hundred thirty-three thousand, four hundred".