Search a number
-
+
230370288 = 24319376827
BaseRepresentation
bin11011011101100…
…10101111110000
3121001111000121220
431232302233300
5432433322123
634505345040
75465054331
oct1556625760
9531430556
10230370288
11109046675
1265198180
133895b9a5
142284a288
1515357ce3
hexdbb2bf0

230370288 has 80 divisors (see below), whose sum is σ = 643470720. Its totient is φ = 70771968.

The previous prime is 230370199. The next prime is 230370299. The reversal of 230370288 is 882073032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30331 + ... + 37157.

It is an arithmetic number, because the mean of its divisors is an integer number (8043384).

Almost surely, 2230370288 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 230370288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321735360).

230370288 is an abundant number, since it is smaller than the sum of its proper divisors (413100432).

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

230370288 is a wasteful number, since it uses less digits than its factorization.

230370288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 230370288 is about 15177.9540123167. The cubic root of 230370288 is about 613.0211922520.

The spelling of 230370288 in words is "two hundred thirty million, three hundred seventy thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 6827 8436 11248 13654 16872 20481 27308 33744 40962 54616 81924 109232 129713 163848 252599 259426 327696 389139 505198 518852 757797 778278 1010396 1037704 1515594 1556556 2020792 2075408 3031188 3113112 4041584 4799381 6062376 6226224 9598762 12124752 14398143 19197524 28796286 38395048 57592572 76790096 115185144 230370288