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232242080 = 2557316689
BaseRepresentation
bin11011101011110…
…11101110100000
3121012000010020112
431311323232200
5433423221310
635013430452
75520011420
oct1565735640
9535003215
10232242080
1110a104a04
126593b428
1339165965
1422bb6480
15155c7705
hexdd7bba0

232242080 has 96 divisors (see below), whose sum is σ = 647377920. Its totient is φ = 77045760.

The previous prime is 232242079. The next prime is 232242089. The reversal of 232242080 is 80242232.

It is not an unprimeable number, because it can be changed into a prime (232242089) 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 15 ways as a sum of consecutive naturals, for example, 31376 + ... + 38064.

It is an arithmetic number, because the mean of its divisors is an integer number (6743520).

Almost surely, 2232242080 is an apocalyptic number.

232242080 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 232242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323688960).

232242080 is an abundant number, since it is smaller than the sum of its proper divisors (415135840).

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

232242080 is a wasteful number, since it uses less digits than its factorization.

232242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 232242080 is about 15239.4908051418. The cubic root of 232242080 is about 614.6770110912.

The spelling of 232242080 in words is "two hundred thirty-two million, two hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6689 6944 8680 13378 17360 26756 33445 34720 46823 53512 66890 93646 107024 133780 187292 207359 214048 234115 267560 374584 414718 468230 535120 749168 829436 936460 1036795 1070240 1451513 1498336 1658872 1872920 2073590 2903026 3317744 3745840 4147180 5806052 6635488 7257565 7491680 8294360 11612104 14515130 16588720 23224208 29030260 33177440 46448416 58060520 116121040 232242080