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230046300 = 22325211191223
BaseRepresentation
bin11011011011000…
…11101001011100
3121000212120012100
431231203221130
5432342440200
634454405100
75462234631
oct1555435134
9530776170
10230046300
11108945210
1265060790
1338877393
14227a4188
15152e1d00
hexdb63a5c

230046300 has 216 divisors, whose sum is σ = 828696960. Its totient is φ = 52790400.

The previous prime is 230046239. The next prime is 230046307. The reversal of 230046300 is 3640032.

230046300 is a `hidden beast` number, since 2 + 30 + 0 + 4 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230046307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187489 + ... + 188711.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2230046300 is an apocalyptic number.

230046300 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 230046300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

230046300 is an abundant number, since it is smaller than the sum of its proper divisors (598650660).

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

230046300 is a wasteful number, since it uses less digits than its factorization.

230046300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230046300 is about 15167.2772770857. The cubic root of 230046300 is about 612.7336773237.

Adding to 230046300 its reverse (3640032), we get a palindrome (233686332).

The spelling of 230046300 in words is "two hundred thirty million, forty-six thousand, three hundred".