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230274576 = 243578461
BaseRepresentation
bin11011011100110…
…11011000010000
3121001022011100000
431232123120100
5432422241301
634503330000
75464205310
oct1556333020
9531264300
10230274576
11108a90774
1265150900
133892725c
1422823440
1515339786
hexdb9b610

230274576 has 120 divisors (see below), whose sum is σ = 763881664. Its totient is φ = 65784960.

The previous prime is 230274563. The next prime is 230274601. The reversal of 230274576 is 675472032.

It is a happy number.

230274576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230274576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22986 + ... + 31446.

Almost surely, 2230274576 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 230274576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381940832).

230274576 is an abundant number, since it is smaller than the sum of its proper divisors (533607088).

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

230274576 is an equidigital number, since it uses as much as digits as its factorization.

230274576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 230274576 is about 15174.8006906186. The cubic root of 230274576 is about 612.9362831369.

The spelling of 230274576 in words is "two hundred thirty million, two hundred seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 8461 9072 13608 16922 25383 27216 33844 50766 59227 67688 76149 101532 118454 135376 152298 177681 203064 228447 236908 304596 355362 406128 456894 473816 533043 609192 685341 710724 913788 947632 1066086 1218384 1370682 1421448 1599129 1827576 2056023 2132172 2741364 2842896 3198258 3655152 4112046 4264344 4797387 5482728 6396516 8224092 8528688 9594774 10965456 12793032 14392161 16448184 19189548 25586064 28784322 32896368 38379096 57568644 76758192 115137288 230274576