Search a number
-
+
2323002231000 = 233253112341149167
BaseRepresentation
bin100001110011011101101…
…110010000100011011000
322020002002000112021122200
4201303131232100203120
5301030002032343000
64535101131450200
7326555106111363
oct41633556204330
98202060467580
102323002231000
118161a8220750
123162688b6960
1313b09aa53749
14806109010da
154065ec8c500
hex21cddb908d8

2323002231000 has 1536 divisors, whose sum is σ = 9272600064000. Its totient is φ = 518876160000.

The previous prime is 2323002230953. The next prime is 2323002231019. The reversal of 2323002231000 is 1322003232.

It is a happy number.

2323002231000 is a `hidden beast` number, since 2 + 32 + 300 + 22 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×23230022310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13910192917 + ... + 13910193083.

It is an arithmetic number, because the mean of its divisors is an integer number (6036849000).

Almost surely, 22323002231000 is an apocalyptic number.

2323002231000 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 2323002231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636300032000).

2323002231000 is an abundant number, since it is smaller than the sum of its proper divisors (6949597833000).

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

2323002231000 is a wasteful number, since it uses less digits than its factorization.

2323002231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2323002231000 its reverse (1322003232), we get a palindrome (2324324234232).

The spelling of 2323002231000 in words is "two trillion, three hundred twenty-three billion, two million, two hundred thirty-one thousand".