Search a number
-
+
23102229920 = 2557511271
BaseRepresentation
bin10101100001000000…
…000000110110100000
32012122000220212200012
4111201000000312200
5334303132324140
614340224544052
71445331500000
oct254100006640
965560825605
1023102229920
119885674300
124588a82028
132242303943
141192300000
159032a5265
hex561000da0

23102229920 has 432 divisors, whose sum is σ = 70975626624. Its totient is φ = 7099276800.

The previous prime is 23102229911. The next prime is 23102229959. The reversal of 23102229920 is 2992220132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325383485 + ... + 325383555.

It is an arithmetic number, because the mean of its divisors is an integer number (164295432).

Almost surely, 223102229920 is an apocalyptic number.

23102229920 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 23102229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35487813312).

23102229920 is an abundant number, since it is smaller than the sum of its proper divisors (47873396704).

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

23102229920 is an frugal number, since it uses more digits than its factorization.

23102229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 23102229920 in words is "twenty-three billion, one hundred two million, two hundred twenty-nine thousand, nine hundred twenty".