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230136928 = 2572317463
BaseRepresentation
bin11011011011110…
…01110001100000
3121001001011111221
431231321301200
5432403340203
634500344424
75463063100
oct1555716140
9531034457
10230136928
111089a730a
12650a5114
13388a96c8
14227c9200
151530dabd
hexdb79c60

230136928 has 72 divisors (see below), whose sum is σ = 529859232. Its totient is φ = 98106624.

The previous prime is 230136889. The next prime is 230136931. The reversal of 230136928 is 829631032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230136893 and 230136902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496825 + ... + 497287.

It is an arithmetic number, because the mean of its divisors is an integer number (7359156).

Almost surely, 2230136928 is an apocalyptic number.

230136928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264929616).

230136928 is an abundant number, since it is smaller than the sum of its proper divisors (299722304).

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

230136928 is a wasteful number, since it uses less digits than its factorization.

230136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 230136928 is about 15170.2645988790. The cubic root of 230136928 is about 612.8141300225.

The spelling of 230136928 in words is "two hundred thirty million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 317 392 463 634 784 926 1268 1568 1852 2219 2536 3241 3704 4438 5072 6482 7408 8876 10144 12964 14816 15533 17752 22687 25928 31066 35504 45374 51856 62132 71008 90748 103712 124264 146771 181496 248528 293542 362992 497056 587084 725984 1027397 1174168 2054794 2348336 4109588 4696672 7191779 8219176 14383558 16438352 28767116 32876704 57534232 115068464 230136928