Search a number
-
+
232309440 = 26325117333
BaseRepresentation
bin11011101100011…
…00001011000000
3121012010112122100
431312030023000
5433432400230
635015110400
75520411666
oct1566141300
9535115570
10232309440
1110a150580
1265972400
133918a50c
1422bd2c36
15155dc660
hexdd8c2c0

232309440 has 168 divisors, whose sum is σ = 871807248. Its totient is φ = 56309760.

The previous prime is 232309439. The next prime is 232309487. The reversal of 232309440 is 44903232.

It is a happy number.

It is a super-2 number, since 2×2323094402 = 107935351826227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28014 + ... + 35346.

Almost surely, 2232309440 is an apocalyptic number.

232309440 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 232309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435903624).

232309440 is an abundant number, since it is smaller than the sum of its proper divisors (639497808).

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

232309440 is a wasteful number, since it uses less digits than its factorization.

232309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 232309440 is about 15241.7006925080. The cubic root of 232309440 is about 614.7364327675.

The spelling of 232309440 in words is "two hundred thirty-two million, three hundred nine thousand, four hundred forty".