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288225340 = 225131108559
BaseRepresentation
bin10001001011011…
…111100000111100
3202002100100211121
4101023133200330
51042241202330
644333400324
710066606054
oct2113374074
9662310747
10288225340
11138771a67
12806390a4
1347937550
142a3ca564
151a48517a
hex112df83c

288225340 has 24 divisors (see below), whose sum is σ = 651833280. Its totient is φ = 106421568.

The previous prime is 288225337. The next prime is 288225373. The reversal of 288225340 is 43522882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 288225296 and 288225305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554020 + ... + 554539.

It is an arithmetic number, because the mean of its divisors is an integer number (27159720).

Almost surely, 2288225340 is an apocalyptic number.

288225340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288225340 is an abundant number, since it is smaller than the sum of its proper divisors (363607940).

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

288225340 is a wasteful number, since it uses less digits than its factorization.

288225340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108581 (or 1108579 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 288225340 is about 16977.2005937375. The cubic root of 288225340 is about 660.5576401292.

The spelling of 288225340 in words is "two hundred eighty-eight million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1108559 2217118 4434236 5542795 11085590 14411267 22171180 28822534 57645068 72056335 144112670 288225340