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225286340 = 225371671823
BaseRepresentation
bin11010110110110…
…01100011000100
3120200220201202112
431123121203010
5430133130330
634204400152
75403621326
oct1533314304
9520821675
10225286340
11106193a64
1263546058
133789b936
1421cc5616
1514ba1795
hexd6d98c4

225286340 has 48 divisors (see below), whose sum is σ = 489065472. Its totient is φ = 87106176.

The previous prime is 225286291. The next prime is 225286351. The reversal of 225286340 is 43682522.

225286340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225286297 and 225286306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122669 + ... + 124491.

It is an arithmetic number, because the mean of its divisors is an integer number (10188864).

Almost surely, 2225286340 is an apocalyptic number.

225286340 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 225286340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244532736).

225286340 is an abundant number, since it is smaller than the sum of its proper divisors (263779132).

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

225286340 is a wasteful number, since it uses less digits than its factorization.

225286340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 225286340 is about 15009.5416319087. The cubic root of 225286340 is about 608.4781016982.

The spelling of 225286340 in words is "two hundred twenty-five million, two hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 167 185 334 370 668 740 835 1670 1823 3340 3646 6179 7292 9115 12358 18230 24716 30895 36460 61790 67451 123580 134902 269804 304441 337255 608882 674510 1217764 1349020 1522205 3044410 6088820 11264317 22528634 45057268 56321585 112643170 225286340