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225731780 = 225171983421
BaseRepresentation
bin11010111010001…
…10010011000100
3120201202100210022
431131012103010
5430241404110
634222114312
75410455101
oct1535062304
9521670708
10225731780
1110646869a
126371b998
13379c6601
1421d9daa8
1514c3d755
hexd7464c4

225731780 has 96 divisors (see below), whose sum is σ = 535973760. Its totient is φ = 79349760.

The previous prime is 225731771. The next prime is 225731819. The reversal of 225731780 is 87137522.

It is a self number, because there is not a number n which added to its sum of digits gives 225731780.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535970 + ... + 536390.

It is an arithmetic number, because the mean of its divisors is an integer number (5583060).

Almost surely, 2225731780 is an apocalyptic number.

225731780 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 225731780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267986880).

225731780 is an abundant number, since it is smaller than the sum of its proper divisors (310241980).

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

225731780 is a wasteful number, since it uses less digits than its factorization.

225731780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 225731780 is about 15024.3728654477. The cubic root of 225731780 is about 608.8788687788.

The spelling of 225731780 in words is "two hundred twenty-five million, seven hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 83 85 95 166 170 190 323 332 340 380 415 421 646 830 842 1292 1411 1577 1615 1660 1684 2105 2822 3154 3230 4210 5644 6308 6460 7055 7157 7885 7999 8420 14110 14314 15770 15998 26809 28220 28628 31540 31996 34943 35785 39995 53618 69886 71570 79990 107236 134045 135983 139772 143140 159980 174715 268090 271966 349430 536180 543932 594031 663917 679915 698860 1188062 1327834 1359830 2376124 2655668 2719660 2970155 3319585 5940310 6639170 11286589 11880620 13278340 22573178 45146356 56432945 112865890 225731780