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230954976 = 253574243
BaseRepresentation
bin11011100010000…
…01011111100000
3121002120201200000
431301001133200
5433111024401
634530100000
75503041060
oct1561013740
9532521600
10230954976
1110940598a
126541a600
1338b04b65
142295d3a0
1515421186
hexdc417e0

230954976 has 144 divisors (see below), whose sum is σ = 778587264. Its totient is φ = 65971584.

The previous prime is 230954947. The next prime is 230954987. The reversal of 230954976 is 679459032.

It is a happy number.

230954976 is a `hidden beast` number, since 2 + 30 + 9 + 549 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52311 + ... + 56553.

It is an arithmetic number, because the mean of its divisors is an integer number (5406856).

Almost surely, 2230954976 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 230954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389293632).

230954976 is an abundant number, since it is smaller than the sum of its proper divisors (547632288).

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

230954976 is an equidigital number, since it uses as much as digits as its factorization.

230954976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 230954976 is about 15197.2029005340. The cubic root of 230954976 is about 613.5393773184.

The spelling of 230954976 in words is "two hundred thirty million, nine hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4243 4536 6048 6804 7776 8486 9072 12729 13608 16972 18144 25458 27216 29701 33944 38187 50916 54432 59402 67888 76374 89103 101832 114561 118804 135776 152748 178206 203664 229122 237608 267309 305496 343683 356412 407328 458244 475216 534618 610992 687366 712824 801927 916488 950432 1031049 1069236 1221984 1374732 1425648 1603854 1832976 2062098 2138472 2405781 2749464 2851296 3207708 3665952 4124196 4276944 4811562 5498928 6415416 7217343 8248392 8553888 9623124 10997856 12830832 14434686 16496784 19246248 25661664 28869372 32993568 38492496 57738744 76984992 115477488 230954976