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230432240 = 24522712689
BaseRepresentation
bin11011011110000…
…01110111110000
3121001121011121102
431233001313300
5432442312430
634510543532
75465433053
oct1557016760
9531534542
10230432240
11109089175
1265207ba8
1338980c4c
1422864a9a
151536b345
hexdbc1df0

230432240 has 40 divisors (see below), whose sum is σ = 538157520. Its totient is φ = 91759616.

The previous prime is 230432203. The next prime is 230432243. The reversal of 230432240 is 42234032.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230432243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11816 + ... + 24504.

It is an arithmetic number, because the mean of its divisors is an integer number (13453938).

Almost surely, 2230432240 is an apocalyptic number.

230432240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230432240 is an abundant number, since it is smaller than the sum of its proper divisors (307725280).

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

230432240 is a wasteful number, since it uses less digits than its factorization.

230432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12929 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 230432240 is about 15179.9947299069. The cubic root of 230432240 is about 613.0761392757.

Adding to 230432240 its reverse (42234032), we get a palindrome (272666272).

The spelling of 230432240 in words is "two hundred thirty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 12689 18160 25378 50756 63445 101512 126890 203024 253780 507560 1015120 2880403 5760806 11521612 14402015 23043224 28804030 46086448 57608060 115216120 230432240