Search a number
-
+
23240976948 = 22337243109937
BaseRepresentation
bin10101101001010001…
…010010101000110100
32012222200222221211000
4111221101102220310
5340044142230243
614402102443300
71451635021200
oct255121225064
965880887730
1023240976948
119946a1aa72
124607433530
132264c92887
1411a68d9b00
159105605d3
hex569452a34

23240976948 has 288 divisors, whose sum is σ = 72457123200. Its totient is φ = 6419492352.

The previous prime is 23240976901. The next prime is 23240977007. The reversal of 23240976948 is 84967904232.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23240976894 and 23240976903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24803136 + ... + 24804072.

Almost surely, 223240976948 is an apocalyptic number.

23240976948 is a gapful number since it is divisible by the number (28) 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 23240976948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36228561600).

23240976948 is an abundant number, since it is smaller than the sum of its proper divisors (49216146252).

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

23240976948 is a wasteful number, since it uses less digits than its factorization.

23240976948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23240976948 in words is "twenty-three billion, two hundred forty million, nine hundred seventy-six thousand, nine hundred forty-eight".