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230035520 = 26511213457
BaseRepresentation
bin11011011011000…
…01000001000000
3121000212000102002
431231201001000
5432342114040
634454243132
75462161331
oct1555410100
9530760362
10230035520
11108938100
12650564a8
13388724c0
14227a0288
15152dda15
hexdb61040

230035520 has 168 divisors, whose sum is σ = 649830552. Its totient is φ = 77045760.

The previous prime is 230035499. The next prime is 230035537. The reversal of 230035520 is 25530032.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 205750336 = 4928^2 + 14344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 230035492 and 230035501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503132 + ... + 503588.

It is an arithmetic number, because the mean of its divisors is an integer number (3868039).

Almost surely, 2230035520 is an apocalyptic number.

230035520 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 230035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324915276).

230035520 is an abundant number, since it is smaller than the sum of its proper divisors (419795032).

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

230035520 is a wasteful number, since it uses less digits than its factorization.

230035520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 230035520 is about 15166.9219026143. The cubic root of 230035520 is about 612.7241062472.

Adding to 230035520 its reverse (25530032), we get a palindrome (255565552).

The spelling of 230035520 in words is "two hundred thirty million, thirty-five thousand, five hundred twenty".