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230447648 = 2517423617
BaseRepresentation
bin11011011110001…
…01101000100000
3121001121221202002
431233011220200
5432443311043
634511143132
75465526014
oct1557055040
9531557662
10230447648
11109099802
1265214aa8
1338987c72
142286a544
1515370bb8
hexdbc5a20

230447648 has 24 divisors (see below), whose sum is σ = 480382812. Its totient is φ = 108445696.

The previous prime is 230447647. The next prime is 230447671. The reversal of 230447648 is 846744032.

It can be written as a sum of positive squares in 2 ways, for example, as 230189584 + 258064 = 15172^2 + 508^2 .

It is a super-2 number, since 2×2304476482 = 106212236937463808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230447647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211265 + ... + 212352.

Almost surely, 2230447648 is an apocalyptic number.

It is an amenable number.

230447648 is an abundant number, since it is smaller than the sum of its proper divisors (249935164).

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

230447648 is a wasteful number, since it uses less digits than its factorization.

230447648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423644 (or 423636 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 230447648 is about 15180.5022314810. The cubic root of 230447648 is about 613.0898035480.

The spelling of 230447648 in words is "two hundred thirty million, four hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 423617 847234 1694468 3388936 6777872 7201489 13555744 14402978 28805956 57611912 115223824 230447648