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230979204 = 22321721492
BaseRepresentation
bin11011100010001…
…11011010000100
3121002121221220100
431301013122010
5433112313304
634530404100
75503201521
oct1561073204
9532557810
10230979204
11109422105
1265430630
1338b12bb1
1422968148
1515428439
hexdc47684

230979204 has 81 divisors (see below), whose sum is σ = 624419887. Its totient is φ = 71977728.

The previous prime is 230979169. The next prime is 230979209. The reversal of 230979204 is 402979032.

The square root of 230979204 is 15198.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4536900 + 226442304 = 2130^2 + 15048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230979209) 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 26 ways as a sum of consecutive naturals, for example, 1550122 + ... + 1550270.

Almost surely, 2230979204 is an apocalyptic number.

230979204 is the 15198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230979204

230979204 is an abundant number, since it is smaller than the sum of its proper divisors (393440683).

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

230979204 is a wasteful number, since it uses less digits than its factorization.

230979204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 230979204 is about 613.5608307239.

Multiplying 230979204 by its sum of digits (36), we get a square (8315251344 = 911882).

230979204 divided by its sum of digits (36) gives a square (6416089 = 25332).

The spelling of 230979204 in words is "two hundred thirty million, nine hundred seventy-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 289 298 306 447 578 596 612 867 894 1156 1341 1734 1788 2533 2601 2682 3468 5066 5202 5364 7599 10132 10404 15198 22201 22797 30396 43061 44402 45594 66603 86122 88804 91188 129183 133206 172244 199809 258366 266412 377417 387549 399618 516732 754834 775098 799236 1132251 1509668 1550196 2264502 3396753 4529004 6416089 6793506 12832178 13587012 19248267 25664356 38496534 57744801 76993068 115489602 230979204