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232404144 = 243717232961
BaseRepresentation
bin11011101101000…
…11010010110000
3121012022100112220
431312203102300
5433443413034
635021121040
75521255050
oct1566432260
9535270486
10232404144
1110a205745
12659b9180
13391c165b
1422c19560
151560a749
hexdda34b0

232404144 has 320 divisors, whose sum is σ = 797091840. Its totient is φ = 56770560.

The previous prime is 232404119. The next prime is 232404157. The reversal of 232404144 is 441404232.

It is a happy number.

232404144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2324041442 = 108023372296745472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3809874 + ... + 3809934.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2232404144 is an apocalyptic number.

232404144 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 232404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

232404144 is an abundant number, since it is smaller than the sum of its proper divisors (564687696).

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

232404144 is a wasteful number, since it uses less digits than its factorization.

232404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 232404144 is about 15244.8071158674. The cubic root of 232404144 is about 614.8199565505.

Adding to 232404144 its reverse (441404232), we get a palindrome (673808376).

The spelling of 232404144 in words is "two hundred thirty-two million, four hundred four thousand, one hundred forty-four".