Search a number
-
+
23246711040 = 283571934481
BaseRepresentation
bin10101101001100111…
…001010100100000000
32020000002210021111210
4111221213022210000
5340102124223130
614402425410120
71452034532520
oct255147124400
966002707453
1023246711040
11994a187093
124609339940
13226621c827
1411a758d680
15910ce45b0
hex5699ca900

23246711040 has 288 divisors, whose sum is σ = 85309168896. Its totient is φ = 5284823040.

The previous prime is 23246711021. The next prime is 23246711051. The reversal of 23246711040 is 4011764232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23246710989 and 23246711007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5185600 + ... + 5190080.

It is an arithmetic number, because the mean of its divisors is an integer number (296212392).

Almost surely, 223246711040 is an apocalyptic number.

23246711040 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 23246711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42654584448).

23246711040 is an abundant number, since it is smaller than the sum of its proper divisors (62062457856).

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

23246711040 is a wasteful number, since it uses less digits than its factorization.

23246711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 23246711040 in words is "twenty-three billion, two hundred forty-six million, seven hundred eleven thousand, forty".