Search a number
-
+
232818300000 = 253555111367
BaseRepresentation
bin1101100011010100001…
…1010101010001100000
3211020221111201001200000
43120311003111101200
512303302441100000
6254542200100000
722551311616636
oct3306503252140
9736844631600
10232818300000
118a812951790
1239156464600
1318c5454abc0
14b3a8955356
1560c9700000
hex36350d5460

232818300000 has 1728 divisors, whose sum is σ = 1023275006208. Its totient is φ = 51321600000.

The previous prime is 232818299993. The next prime is 232818300007. The reversal of 232818300000 is 3818232.

It is an interprime number because it is at equal distance from previous prime (232818299993) and next prime (232818300007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232818300007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3474899967 + ... + 3474900033.

It is an arithmetic number, because the mean of its divisors is an integer number (592173036).

Almost surely, 2232818300000 is an apocalyptic number.

232818300000 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 232818300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511637503104).

232818300000 is an abundant number, since it is smaller than the sum of its proper divisors (790456706208).

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

232818300000 is an equidigital number, since it uses as much as digits as its factorization.

232818300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 232818300000 in words is "two hundred thirty-two billion, eight hundred eighteen million, three hundred thousand".