Search a number
-
+
232308700 = 225213832153
BaseRepresentation
bin11011101100010…
…11111111011100
3121012010111121221
431312023333130
5433432334300
635015103124
75520406561
oct1566137734
9535114557
10232308700
1110a14aa68
1265971aa4
133918a090
1422bd2868
15155dc31a
hexdd8bfdc

232308700 has 72 divisors (see below), whose sum is σ = 549683568. Its totient is φ = 84702720.

The previous prime is 232308697. The next prime is 232308701. The reversal of 232308700 is 7803232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232308701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106824 + ... + 108976.

It is an arithmetic number, because the mean of its divisors is an integer number (7634494).

Almost surely, 2232308700 is an apocalyptic number.

232308700 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 232308700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274841784).

232308700 is an abundant number, since it is smaller than the sum of its proper divisors (317374868).

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

232308700 is a wasteful number, since it uses less digits than its factorization.

232308700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 232308700 is about 15241.6764169825. The cubic root of 232308700 is about 614.7357800383.

The spelling of 232308700 in words is "two hundred thirty-two million, three hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2153 2158 4150 4306 4316 5395 8300 8612 10765 10790 21530 21580 26975 27989 43060 53825 53950 55978 107650 107900 111956 139945 178699 215300 279890 357398 559780 699725 714796 893495 1399450 1786990 2323087 2798900 3573980 4467475 4646174 8934950 9292348 11615435 17869900 23230870 46461740 58077175 116154350 232308700