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224225440 = 2551401409
BaseRepresentation
bin11010101110101…
…10100010100000
3120121220211110221
431113112202200
5424400203230
634125532424
75361612325
oct1527264240
9517824427
10224225440
1110562998a
1263114114
13375b9a9a
1421acab4c
1514a4227a
hexd5d68a0

224225440 has 24 divisors (see below), whose sum is σ = 529732980. Its totient is φ = 89690112.

The previous prime is 224225437. The next prime is 224225489. The reversal of 224225440 is 44522422.

It can be written as a sum of positive squares in 2 ways, for example, as 198133776 + 26091664 = 14076^2 + 5108^2 .

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 3 ways as a sum of consecutive naturals, for example, 700545 + ... + 700864.

Almost surely, 2224225440 is an apocalyptic number.

224225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224225440 is an abundant number, since it is smaller than the sum of its proper divisors (305507540).

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

224225440 is a wasteful number, since it uses less digits than its factorization.

224225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401424 (or 1401416 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 224225440 is about 14974.1590748863. The cubic root of 224225440 is about 607.5214667232.

Adding to 224225440 its reverse (44522422), we get a palindrome (268747862).

The spelling of 224225440 in words is "two hundred twenty-four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1401409 2802818 5605636 7007045 11211272 14014090 22422544 28028180 44845088 56056360 112112720 224225440