Search a number
-
+
23385666600 = 23335267109593
BaseRepresentation
bin10101110001111001…
…001111010000101000
32020100210020221201000
4111301321033100220
5340343212312400
614424311555000
71455342613002
oct256171172050
966323227630
1023385666600
119a1066549a
12464798ba60
132288c5265a
1411bbc01372
1591d0e1600
hex571e4f428

23385666600 has 384 divisors, whose sum is σ = 82642032000. Its totient is φ = 6076477440.

The previous prime is 23385666587. The next prime is 23385666643. The reversal of 23385666600 is 666658332.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39435904 + ... + 39436496.

It is an arithmetic number, because the mean of its divisors is an integer number (215213625).

Almost surely, 223385666600 is an apocalyptic number.

23385666600 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 23385666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41321016000).

23385666600 is an abundant number, since it is smaller than the sum of its proper divisors (59256365400).

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

23385666600 is a wasteful number, since it uses less digits than its factorization.

23385666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23385666600 in words is "twenty-three billion, three hundred eighty-five million, six hundred sixty-six thousand, six hundred".