Search a number
-
+
230250276 = 22362812
BaseRepresentation
bin11011011100101…
…01011100100100
3121001020221000000
431232111130210
5432421002101
634503021300
75464044414
oct1556253444
9531227000
10230250276
11108a74493
126513a830
1338919189
1422818644
1515332486
hexdb95724

230250276 has 63 divisors (see below), whose sum is σ = 606288193. Its totient is φ = 76476960.

The previous prime is 230250253. The next prime is 230250277. The reversal of 230250276 is 672052032.

The square root of 230250276 is 15174.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 155600676 + 74649600 = 12474^2 + 8640^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230250277) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 819256 + ... + 819536.

Almost surely, 2230250276 is an apocalyptic number.

230250276 is the 15174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230250276

230250276 is an abundant number, since it is smaller than the sum of its proper divisors (376037917).

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

230250276 is an frugal number, since it uses more digits than its factorization.

230250276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The cubic root of 230250276 is about 612.9147221004.

The spelling of 230250276 in words is "two hundred thirty million, two hundred fifty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 281 324 486 562 729 843 972 1124 1458 1686 2529 2916 3372 5058 7587 10116 15174 22761 30348 45522 68283 78961 91044 136566 157922 204849 236883 273132 315844 409698 473766 710649 819396 947532 1421298 2131947 2842596 4263894 6395841 8527788 12791682 19187523 25583364 38375046 57562569 76750092 115125138 230250276