Search a number
-
+
23213240820 = 22365711232931
BaseRepresentation
bin10101100111100111…
…011111000111110100
32012220202210211000000
4111213213133013310
5340020042201240
614355232151300
71451150201640
oct254747370764
965822724000
1023213240820
1199322a6450
1245ba098530
13225c301173
1411a2d59c20
1590cdd2430
hex5679df1f4

23213240820 has 1344 divisors, whose sum is σ = 101536727040. Its totient is φ = 4311014400.

The previous prime is 23213240783. The next prime is 23213240833. The reversal of 23213240820 is 2804231232.

23213240820 is a `hidden beast` number, since 23 + 213 + 2 + 408 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 748814205 + ... + 748814235.

It is an arithmetic number, because the mean of its divisors is an integer number (75548160).

Almost surely, 223213240820 is an apocalyptic number.

23213240820 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 23213240820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50768363520).

23213240820 is an abundant number, since it is smaller than the sum of its proper divisors (78323486220).

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

23213240820 is a wasteful number, since it uses less digits than its factorization.

23213240820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 23213240820 in words is "twenty-three billion, two hundred thirteen million, two hundred forty thousand, eight hundred twenty".