Search a number
-
+
23249355360 = 25357211731231
BaseRepresentation
bin10101101001110001…
…010000001001100000
32020000021202121211120
4111221301100021200
5340103313332420
614403002212240
71452066155100
oct255161201140
966007677746
1023249355360
119950722880
12460a1b4080
13226693730a
1411a7a7b200
15911167d40
hex569c50260

23249355360 has 576 divisors, whose sum is σ = 94286674944. Its totient is φ = 4760985600.

The previous prime is 23249355359. The next prime is 23249355379. The reversal of 23249355360 is 6355394232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18885945 + ... + 18887175.

It is an arithmetic number, because the mean of its divisors is an integer number (163692144).

Almost surely, 223249355360 is an apocalyptic number.

23249355360 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 23249355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47143337472).

23249355360 is an abundant number, since it is smaller than the sum of its proper divisors (71037319584).

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

23249355360 is a wasteful number, since it uses less digits than its factorization.

23249355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 23249355360 in words is "twenty-three billion, two hundred forty-nine million, three hundred fifty-five thousand, three hundred sixty".