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230282352 = 24376581
BaseRepresentation
bin11011011100111…
…01010001110000
3121001022120000000
431232131101300
5432423013402
634503430000
75464240056
oct1556352160
9531276000
10230282352
11108a965a3
1265155300
133892a961
14228261d6
151533bc1c
hexdb9d470

230282352 has 80 divisors (see below), whose sum is σ = 669257760. Its totient is φ = 76749120.

The previous prime is 230282321. The next prime is 230282387. The reversal of 230282352 is 253282032.

230282352 is a `hidden beast` number, since 2 + 30 + 282 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31702 + ... + 38282.

It is an arithmetic number, because the mean of its divisors is an integer number (8365722).

Almost surely, 2230282352 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 230282352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334628880).

230282352 is an abundant number, since it is smaller than the sum of its proper divisors (438975408).

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

230282352 is an frugal number, since it uses more digits than its factorization.

230282352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230282352 is about 15175.0569026940. The cubic root of 230282352 is about 612.9431823482.

The spelling of 230282352 in words is "two hundred thirty million, two hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6581 8748 11664 13162 17496 19743 26324 34992 39486 52648 59229 78972 105296 118458 157944 177687 236916 315888 355374 473832 533061 710748 947664 1066122 1421496 1599183 2132244 2842992 3198366 4264488 4797549 6396732 8528976 9595098 12793464 14392647 19190196 25586928 28785294 38380392 57570588 76760784 115141176 230282352