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230151300 = 223522632917
BaseRepresentation
bin11011011011111…
…01010010000100
3121001001220020020
431231331102010
5432404320200
634500535140
75463153021
oct1555752204
9531056206
10230151300
11108a07095
12650b14b0
13388b3102
14227d0548
1515312ea0
hexdb7d484

230151300 has 72 divisors (see below), whose sum is σ = 668665536. Its totient is φ = 61119360.

The previous prime is 230151293. The next prime is 230151307. The reversal of 230151300 is 3151032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230151293) and next prime (230151307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230151300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230151307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77442 + ... + 80358.

Almost surely, 2230151300 is an apocalyptic number.

230151300 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 230151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334332768).

230151300 is an abundant number, since it is smaller than the sum of its proper divisors (438514236).

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

230151300 is a wasteful number, since it uses less digits than its factorization.

230151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 230151300 is about 15170.7382813098. The cubic root of 230151300 is about 612.8268864590.

The spelling of 230151300 in words is "two hundred thirty million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 2917 3156 3945 5260 5834 6575 7890 8751 11668 13150 14585 15780 17502 19725 26300 29170 35004 39450 43755 58340 72925 78900 87510 145850 175020 218775 291700 437550 767171 875100 1534342 2301513 3068684 3835855 4603026 7671710 9206052 11507565 15343420 19179275 23015130 38358550 46030260 57537825 76717100 115075650 230151300