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230151424 = 282921069
BaseRepresentation
bin11011011011111…
…01010100000000
3121001001220101211
431231331110000
5432404321144
634500535504
75463153256
oct1555752400
9531056354
10230151424
11108a07198
12650b1594
13388b3199
14227d05d6
1515313034
hexdb7d500

230151424 has 54 divisors (see below), whose sum is σ = 476236670. Its totient is φ = 111003648.

The previous prime is 230151413. The next prime is 230151431. The reversal of 230151424 is 424151032.

230151424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35046400 + 195105024 = 5920^2 + 13968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230151395 and 230151404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214762 + ... + 215830.

Almost surely, 2230151424 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 230151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238118335).

230151424 is an abundant number, since it is smaller than the sum of its proper divisors (246085246).

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

230151424 is an equidigital number, since it uses as much as digits as its factorization.

230151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 230151424 is about 15170.7423681242. The cubic root of 230151424 is about 612.8269965178.

The spelling of 230151424 in words is "two hundred thirty million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1069 1682 1856 2138 3364 3712 4276 6728 7424 8552 13456 17104 26912 31001 34208 53824 62002 68416 107648 124004 136832 215296 248008 273664 496016 899029 992032 1798058 1984064 3596116 3968128 7192232 7936256 14384464 28768928 57537856 115075712 230151424