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225441440 = 2557201287
BaseRepresentation
bin11010110111111…
…11011010100000
3120201012121111222
431123333122200
5430203111230
634211554212
75405135450
oct1533773240
9521177458
10225441440
1110628a544
12635bb968
1337924403
1421d25d60
1514bd26e5
hexd6ff6a0

225441440 has 48 divisors (see below), whose sum is σ = 608694912. Its totient is φ = 77293824.

The previous prime is 225441427. The next prime is 225441443. The reversal of 225441440 is 44144522.

It is not an unprimeable number, because it can be changed into a prime (225441443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99524 + ... + 101763.

It is an arithmetic number, because the mean of its divisors is an integer number (12681144).

Almost surely, 2225441440 is an apocalyptic number.

225441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225441440 is an abundant number, since it is smaller than the sum of its proper divisors (383253472).

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

225441440 is a wasteful number, since it uses less digits than its factorization.

225441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201309 (or 201301 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 225441440 is about 15014.7074563576. The cubic root of 225441440 is about 608.6177067066.

Adding to 225441440 its reverse (44144522), we get a palindrome (269585962).

The spelling of 225441440 in words is "two hundred twenty-five million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 201287 402574 805148 1006435 1409009 1610296 2012870 2818018 3220592 4025740 5636036 6441184 7045045 8051480 11272072 14090090 16102960 22544144 28180180 32205920 45088288 56360360 112720720 225441440