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230025204 = 22336783383
BaseRepresentation
bin11011011010111…
…10011111110100
3121000211111021000
431231132133310
5432341301304
634454123300
75462116263
oct1555363764
9530744230
10230025204
11108930382
1265050530
133886a8b6
142279a5da
15152da939
hexdb5e7f4

230025204 has 96 divisors (see below), whose sum is σ = 614154240. Its totient is φ = 74425824.

The previous prime is 230025199. The next prime is 230025209. The reversal of 230025204 is 402520032.

It is an interprime number because it is at equal distance from previous prime (230025199) and next prime (230025209).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230025209) 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 31 ways as a sum of consecutive naturals, for example, 600397 + ... + 600779.

It is an arithmetic number, because the mean of its divisors is an integer number (6397440).

Almost surely, 2230025204 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 230025204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307077120).

230025204 is an abundant number, since it is smaller than the sum of its proper divisors (384129036).

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

230025204 is a wasteful number, since it uses less digits than its factorization.

230025204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230025204 is about 15166.5818166125. The cubic root of 230025204 is about 612.7149468554.

Adding to 230025204 its reverse (402520032), we get a palindrome (632545236).

The spelling of 230025204 in words is "two hundred thirty million, twenty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 83 108 134 166 201 249 268 332 383 402 498 603 747 766 804 996 1149 1206 1494 1532 1809 2241 2298 2412 2988 3447 3618 4482 4596 5561 6894 7236 8964 10341 11122 13788 16683 20682 22244 25661 31789 33366 41364 50049 51322 63578 66732 76983 95367 100098 102644 127156 150147 153966 190734 200196 230949 286101 300294 307932 381468 461898 572202 600588 692847 858303 923796 1144404 1385694 1716606 2129863 2771388 3433212 4259726 6389589 8519452 12779178 19168767 25558356 38337534 57506301 76675068 115012602 230025204