Search a number
-
+
230421204 = 2232131094517
BaseRepresentation
bin11011011101111…
…11001011010100
3121001120121110200
431232333023110
5432441434304
634510420500
75465355636
oct1556771324
9531517420
10230421204
11109080952
1265201730
1338978c10
1422860a56
1515367e39
hexdbbf2d4

230421204 has 72 divisors (see below), whose sum is σ = 633152520. Its totient is φ = 70232832.

The previous prime is 230421203. The next prime is 230421209. The reversal of 230421204 is 402124032.

230421204 = T246 + T247 + ... + T1117.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 229522500 = 948^2 + 15150^2 .

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 (230421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48754 + ... + 53270.

It is an arithmetic number, because the mean of its divisors is an integer number (8793785).

Almost surely, 2230421204 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 230421204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316576260).

230421204 is an abundant number, since it is smaller than the sum of its proper divisors (402731316).

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

230421204 is a wasteful number, since it uses less digits than its factorization.

230421204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230421204 is about 15179.6312208169. The cubic root of 230421204 is about 613.0663518486.

Adding to 230421204 its reverse (402124032), we get a palindrome (632545236).

The spelling of 230421204 in words is "two hundred thirty million, four hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1308 1417 1962 2834 3924 4251 4517 5668 8502 9034 12753 13551 17004 18068 25506 27102 40653 51012 54204 58721 81306 117442 162612 176163 234884 352326 492353 528489 704652 984706 1056978 1477059 1969412 2113956 2954118 4431177 5908236 6400589 8862354 12801178 17724708 19201767 25602356 38403534 57605301 76807068 115210602 230421204