Search a number
-
+
233231012322 = 2372111997109359
BaseRepresentation
bin1101100100110110100…
…1101101000111100010
3211022000021022000112120
43121031221231013202
512310124114343242
6255051142005110
722564452615600
oct3311551550742
9738007260476
10233231012322
118aa0490a650
1239250716796
1318cbbbc0789
14b4076a8870
156100a751ec
hex364da6d1e2

233231012322 has 384 divisors, whose sum is σ = 637072128000. Its totient is φ = 56121569280.

The previous prime is 233231012291. The next prime is 233231012353. The reversal of 233231012322 is 223210132332.

It is an interprime number because it is at equal distance from previous prime (233231012291) and next prime (233231012353).

It is a junction number, because it is equal to n+sod(n) for n = 233231012292 and 233231012301.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 649668379 + ... + 649668737.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042000).

Almost surely, 2233231012322 is an apocalyptic number.

233231012322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233231012322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064000).

233231012322 is an abundant number, since it is smaller than the sum of its proper divisors (403841115678).

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

233231012322 is a wasteful number, since it uses less digits than its factorization.

233231012322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233231012322 its reverse (223210132332), we get a palindrome (456441144654).

The spelling of 233231012322 in words is "two hundred thirty-three billion, two hundred thirty-one million, twelve thousand, three hundred twenty-two".