Search a number
-
+
232097300 = 225237149421
BaseRepresentation
bin11011101010110…
…00011000010100
3121011201202122022
431311120120110
5433404103200
635010352312
75515536341
oct1565303024
9534652568
10232097300
1110a016156
126588b698
1339114aa6
1422b797c8
1515599885
hexdd58614

232097300 has 72 divisors (see below), whose sum is σ = 521971800. Its totient is φ = 89510400.

The previous prime is 232097287. The next prime is 232097309. The reversal of 232097300 is 3790232.

It can be written as a sum of positive squares in 12 ways, for example, as 138627076 + 93470224 = 11774^2 + 9668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232097300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232097309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551090 + ... + 551510.

Almost surely, 2232097300 is an apocalyptic number.

232097300 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 232097300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260985900).

232097300 is an abundant number, since it is smaller than the sum of its proper divisors (289874500).

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

232097300 is a wasteful number, since it uses less digits than its factorization.

232097300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 232097300 is about 15234.7399058862. The cubic root of 232097300 is about 614.5492544032.

The spelling of 232097300 in words is "two hundred thirty-two million, ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 149 185 298 370 421 596 740 745 842 925 1490 1684 1850 2105 2980 3700 3725 4210 5513 7450 8420 10525 11026 14900 15577 21050 22052 27565 31154 42100 55130 62308 62729 77885 110260 125458 137825 155770 250916 275650 311540 313645 389425 551300 627290 778850 1254580 1557700 1568225 2320973 3136450 4641946 6272900 9283892 11604865 23209730 46419460 58024325 116048650 232097300