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232077296 = 24118315887
BaseRepresentation
bin11011101010100…
…11011111110000
3121011200202012102
431311103133300
5433402433141
635010115532
75515424123
oct1565233760
9534622172
10232077296
1110a002120
126587bba8
1339108959
1422b723ba
151559399b
hexdd537f0

232077296 has 40 divisors (see below), whose sum is σ = 496468224. Its totient is φ = 104212160.

The previous prime is 232077277. The next prime is 232077299. The reversal of 232077296 is 692770232.

It is a happy number.

232077296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232077299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6665 + ... + 22551.

Almost surely, 2232077296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232077296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248234112).

232077296 is an abundant number, since it is smaller than the sum of its proper divisors (264390928).

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

232077296 is a wasteful number, since it uses less digits than its factorization.

232077296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15989 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 232077296 is about 15234.0833659265. The cubic root of 232077296 is about 614.5315983074.

It can be divided in two parts, 23207 and 7296, that added together give a palindrome (30503).

The spelling of 232077296 in words is "two hundred thirty-two million, seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 14608 15887 31774 63548 127096 174757 254192 349514 699028 1318621 1398056 2637242 2796112 5274484 10548968 14504831 21097936 29009662 58019324 116038648 232077296