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230039040 = 2935711389
BaseRepresentation
bin11011011011000…
…01111000000000
3121000212012020110
431231201320000
5432342222130
634454311320
75462204520
oct1555417000
9530765213
10230039040
1110893a810
1265058540
1338873c9a
14227a1680
15152deab0
hexdb61e00

230039040 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 47677440.

The previous prime is 230038997. The next prime is 230039041. The reversal of 230039040 is 40930032.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230038998 and 230039016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230039041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591166 + ... + 591554.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2230039040 is an apocalyptic number.

230039040 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 230039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

230039040 is an abundant number, since it is smaller than the sum of its proper divisors (689187840).

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

230039040 is a wasteful number, since it uses less digits than its factorization.

230039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 230039040 is about 15167.0379441735. The cubic root of 230039040 is about 612.7272315295.

Adding to 230039040 its reverse (40930032), we get a palindrome (270969072).

The spelling of 230039040 in words is "two hundred thirty million, thirty-nine thousand, forty".