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230867472 = 24311597411
BaseRepresentation
bin11011100001011…
…00001000010000
3121002102021122010
431300230020100
5433100224342
634524142520
75502225003
oct1560541020
9532367563
10230867472
11109356170
1265397a40
1338aa4094
142293953a
151540529c
hexdc2c210

230867472 has 80 divisors (see below), whose sum is σ = 661743360. Its totient is φ = 68764800.

The previous prime is 230867459. The next prime is 230867477. The reversal of 230867472 is 274768032.

230867472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230867472.

It is not an unprimeable number, because it can be changed into a prime (230867477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27447 + ... + 34857.

It is an arithmetic number, because the mean of its divisors is an integer number (8271792).

Almost surely, 2230867472 is an apocalyptic number.

230867472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230867472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330871680).

230867472 is an abundant number, since it is smaller than the sum of its proper divisors (430875888).

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

230867472 is a wasteful number, since it uses less digits than its factorization.

230867472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 230867472 is about 15194.3236769525. The cubic root of 230867472 is about 613.4618817933.

The spelling of 230867472 in words is "two hundred thirty million, eight hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7411 7788 10384 14822 15576 22233 29644 31152 44466 59288 81521 88932 118576 163042 177864 244563 326084 355728 437249 489126 652168 874498 978252 1304336 1311747 1748996 1956504 2623494 3497992 3913008 4809739 5246988 6995984 9619478 10493976 14429217 19238956 20987952 28858434 38477912 57716868 76955824 115433736 230867472