Search a number
-
+
23221023421200 = 24352113761017793
BaseRepresentation
bin1010100011110100100001…
…10110100011001100010000
310001012220112001021220210220
411101322100312203030100
511020423123443434300
6121215331344353040
74614443415246123
oct521722066431420
9101186461256726
1023221023421200
117442a87394480
122730481915780
13cc596b8582b7
145a3c914043ba
152a4073575da0
hex151e90da3310

23221023421200 has 480 divisors, whose sum is σ = 83364437941632. Its totient is φ = 5475594240000.

The previous prime is 23221023421159. The next prime is 23221023421261. The reversal of 23221023421200 is 212432012232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2979724504 + ... + 2979732296.

Almost surely, 223221023421200 is an apocalyptic number.

23221023421200 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 23221023421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41682218970816).

23221023421200 is an abundant number, since it is smaller than the sum of its proper divisors (60143414520432).

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

23221023421200 is a wasteful number, since it uses less digits than its factorization.

23221023421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23221023421200 its reverse (212432012232), we get a palindrome (23433455433432).

The spelling of 23221023421200 in words is "twenty-three trillion, two hundred twenty-one billion, twenty-three million, four hundred twenty-one thousand, two hundred".