Search a number
-
+
23609268900 = 223252719593343
BaseRepresentation
bin10101111111001110…
…001101101010100100
32020221101000010101200
4111333032031222210
5341322433101100
614502420322500
71464026321520
oct257716155244
966841003350
1023609268900
11a0158a9188
1246aa843430
1322c33818c9
1411dd7a8d80
15932a5de00
hex57f38daa4

23609268900 has 432 divisors, whose sum is σ = 90560870400. Its totient is φ = 5024229120.

The previous prime is 23609268899. The next prime is 23609268923. The reversal of 23609268900 is 986290632.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7060629 + ... + 7063971.

Almost surely, 223609268900 is an apocalyptic number.

23609268900 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 23609268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45280435200).

23609268900 is an abundant number, since it is smaller than the sum of its proper divisors (66951601500).

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

23609268900 is a wasteful number, since it uses less digits than its factorization.

23609268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 23609268900 in words is "twenty-three billion, six hundred nine million, two hundred sixty-eight thousand, nine hundred".