Search a number
-
+
23220010000 = 245411292251
BaseRepresentation
bin10101101000000001…
…010011110000010000
32012221020112201120101
4111220001103300100
5340023310310000
614400033222144
71451261554105
oct255001236020
965836481511
1023220010000
1199360aa210
124600401954
1322608312b5
1411a3bdcaac
1590d7bce6a
hex568053c10

23220010000 has 300 divisors, whose sum is σ = 63769449744. Its totient is φ = 8120000000.

The previous prime is 23220009947. The next prime is 23220010007. The reversal of 23220010000 is 1002232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23220010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92509875 + ... + 92510125.

Almost surely, 223220010000 is an apocalyptic number.

23220010000 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 23220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31884724872).

23220010000 is an abundant number, since it is smaller than the sum of its proper divisors (40549439744).

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

23220010000 is a wasteful number, since it uses less digits than its factorization.

23220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 23220010000 its reverse (1002232), we get a palindrome (23221012232).

The spelling of 23220010000 in words is "twenty-three billion, two hundred twenty million, ten thousand".