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230844816 = 2434593019
BaseRepresentation
bin11011100001001…
…10100110010000
3121002101010120000
431300212212100
5433044013231
634523450000
75502101646
oct1560464620
9532333500
10230844816
11109340144
1265386900
1338a96987
1422931196
15153ed6e6
hexdc26990

230844816 has 100 divisors (see below), whose sum is σ = 679681200. Its totient is φ = 75619008.

The previous prime is 230844811. The next prime is 230844821. The reversal of 230844816 is 618448032.

It is an interprime number because it is at equal distance from previous prime (230844811) and next prime (230844821).

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

It is not an unprimeable number, because it can be changed into a prime (230844811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74955 + ... + 77973.

It is an arithmetic number, because the mean of its divisors is an integer number (6796812).

Almost surely, 2230844816 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 230844816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339840600).

230844816 is an abundant number, since it is smaller than the sum of its proper divisors (448836384).

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

230844816 is a wasteful number, since it uses less digits than its factorization.

230844816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 230844816 is about 15193.5781170862. The cubic root of 230844816 is about 613.4418139351.

The spelling of 230844816 in words is "two hundred thirty million, eight hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3019 3186 4248 4779 6038 6372 8496 9057 9558 12076 12744 18114 19116 24152 25488 27171 36228 38232 48304 54342 72456 76464 81513 108684 144912 163026 178121 217368 244539 326052 356242 434736 489078 534363 652104 712484 978156 1068726 1304208 1424968 1603089 1956312 2137452 2849936 3206178 3912624 4274904 4809267 6412356 8549808 9618534 12824712 14427801 19237068 25649424 28855602 38474136 57711204 76948272 115422408 230844816