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285023232 = 2103313261
BaseRepresentation
bin10000111111010…
…001110000000000
3201212022200101000
4100333101300000
51040431220412
644141012000
710030441344
oct2077216000
9655280330
10285023232
1113698519a
127b554000
1347085c00
1429bd5624
151a0514dc
hex10fd1c00

285023232 has 264 divisors, whose sum is σ = 929010480. Its totient is φ = 86261760.

The previous prime is 285023227. The next prime is 285023239. The reversal of 285023232 is 232320582.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 285023196 and 285023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285023239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4672482 + ... + 4672542.

Almost surely, 2285023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464505240).

285023232 is an abundant number, since it is smaller than the sum of its proper divisors (643987248).

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

285023232 is a wasteful number, since it uses less digits than its factorization.

285023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 285023232 is about 16882.6310745689. The cubic root of 285023232 is about 658.1023174624.

The spelling of 285023232 in words is "two hundred eighty-five million, twenty-three thousand, two hundred thirty-two".