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230252320 = 2551439077
BaseRepresentation
bin11011011100101…
…01111100100000
3121001021000210201
431232111330200
5432421033240
634503034544
75464053364
oct1556257440
9531230721
10230252320
11108a75a81
126513ba54
133891a09c
14228192a4
1515332d9a
hexdb95f20

230252320 has 24 divisors (see below), whose sum is σ = 543971484. Its totient is φ = 92100864.

The previous prime is 230252261. The next prime is 230252327. The reversal of 230252320 is 23252032.

It can be written as a sum of positive squares in 2 ways, for example, as 217031824 + 13220496 = 14732^2 + 3636^2 .

It is a super-2 number, since 2×2302523202 = 106032261730764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230252327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 719379 + ... + 719698.

Almost surely, 2230252320 is an apocalyptic number.

230252320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230252320 is an abundant number, since it is smaller than the sum of its proper divisors (313719164).

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

230252320 is a wasteful number, since it uses less digits than its factorization.

230252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439092 (or 1439084 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 230252320 is about 15174.0673519001. The cubic root of 230252320 is about 612.9165357703.

The spelling of 230252320 in words is "two hundred thirty million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1439077 2878154 5756308 7195385 11512616 14390770 23025232 28781540 46050464 57563080 115126160 230252320