Search a number
-
+
232333222240 = 25577325711057
BaseRepresentation
bin1101100001100000100…
…0111010000101100000
3211012200200221120002001
43120120020322011200
512301304301102430
6254422111133344
722533301543030
oct3303010720540
9735620846061
10232333222240
118a594057679
123903bb14254
1318ba7bbbc42
14b3603658c0
15609bd333ca
hex361823a160

232333222240 has 192 divisors, whose sum is σ = 638424872064. Its totient is φ = 78253129728.

The previous prime is 232333222229. The next prime is 232333222273. The reversal of 232333222240 is 42222333232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 232333222199 and 232333222208.

It is a congruent number.

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, 21006792 + ... + 21017848.

It is an arithmetic number, because the mean of its divisors is an integer number (3325129542).

Almost surely, 2232333222240 is an apocalyptic number.

232333222240 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 232333222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319212436032).

232333222240 is an abundant number, since it is smaller than the sum of its proper divisors (406091649824).

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

232333222240 is a wasteful number, since it uses less digits than its factorization.

232333222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 232333222240 its reverse (42222333232), we get a palindrome (274555555472).

The spelling of 232333222240 in words is "two hundred thirty-two billion, three hundred thirty-three million, two hundred twenty-two thousand, two hundred forty".