Search a number
-
+
232912423380 = 2235713231151701
BaseRepresentation
bin1101100011101010101…
…0011000100111010100
3211021012001211000200010
43120322222120213110
512304001040022010
6254555401320220
722553533635060
oct3307252304724
9737161730603
10232912423380
118a860a99aaa
1239181a96070
1318c6abb4900
14b3b7256aa0
1560d2ae3620
hex363aa989d4

232912423380 has 576 divisors, whose sum is σ = 839809990656. Its totient is φ = 47174400000.

The previous prime is 232912423361. The next prime is 232912423391. The reversal of 232912423380 is 83324219232.

232912423380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 332257030 + ... + 332257730.

It is an arithmetic number, because the mean of its divisors is an integer number (1458003456).

Almost surely, 2232912423380 is an apocalyptic number.

232912423380 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 232912423380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419904995328).

232912423380 is an abundant number, since it is smaller than the sum of its proper divisors (606897567276).

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

232912423380 is a wasteful number, since it uses less digits than its factorization.

232912423380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 232912423380 in words is "two hundred thirty-two billion, nine hundred twelve million, four hundred twenty-three thousand, three hundred eighty".