[go: up one dir, main page]

Search a number
-
+
232948224 = 293441137
BaseRepresentation
bin11011110001010…
…00001000000000
3121020022222220000
431320220020000
5434113320344
635040520000
75526012225
oct1570501000
9536288800
10232948224
1110a5474a3
1266020000
13393521b2
1422d1b94c
15156b6a69
hexde28200

232948224 has 200 divisors, whose sum is σ = 717446268. Its totient is φ = 75202560.

The previous prime is 232948211. The next prime is 232948237. The reversal of 232948224 is 422849232.

It is an interprime number because it is at equal distance from previous prime (232948211) and next prime (232948237).

It can be written as a sum of positive squares in 2 ways, for example, as 219988224 + 12960000 = 14832^2 + 3600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700284 + ... + 1700420.

Almost surely, 2232948224 is an apocalyptic number.

232948224 is a gapful number since it is divisible by the number (24) 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 232948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358723134).

232948224 is an abundant number, since it is smaller than the sum of its proper divisors (484498044).

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

232948224 is an equidigital number, since it uses as much as digits as its factorization.

232948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 232948224 is about 15262.6414489760. The cubic root of 232948224 is about 615.2993664475.

The spelling of 232948224 in words is "two hundred thirty-two million, nine hundred forty-eight thousand, two hundred twenty-four".