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230454700 = 22527401821
BaseRepresentation
bin11011011110001…
…11010110101100
3121001122022102021
431233013112230
5432444022300
634511235524
75465555410
oct1557072654
9531568367
10230454700
111090a4033
1265218ba4
133898b238
142286cd40
1515372d1a
hexdbc75ac

230454700 has 72 divisors (see below), whose sum is σ = 573650784. Its totient is φ = 78720000.

The previous prime is 230454691. The next prime is 230454751. The reversal of 230454700 is 7454032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280290 + ... + 281110.

It is an arithmetic number, because the mean of its divisors is an integer number (7967372).

Almost surely, 2230454700 is an apocalyptic number.

230454700 is a gapful number since it is divisible by the number (20) 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 230454700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286825392).

230454700 is an abundant number, since it is smaller than the sum of its proper divisors (343196084).

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

230454700 is a wasteful number, since it uses less digits than its factorization.

230454700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 230454700 is about 15180.7345013342. The cubic root of 230454700 is about 613.0960572680.

The spelling of 230454700 in words is "two hundred thirty million, four hundred fifty-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 401 700 802 821 1604 1642 2005 2807 3284 4010 4105 5614 5747 8020 8210 10025 11228 11494 14035 16420 20050 20525 22988 28070 28735 40100 41050 56140 57470 70175 82100 114940 140350 143675 280700 287350 329221 574700 658442 1316884 1646105 2304547 3292210 4609094 6584420 8230525 9218188 11522735 16461050 23045470 32922100 46090940 57613675 115227350 230454700