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225356450 = 2521121932
BaseRepresentation
bin11010110111010…
…10101010100010
3120201001021221012
431123222222202
5430142401300
634210100522
75404332614
oct1533525242
9521037835
10225356450
11106231700
126357a742
13378c4817
1421d02db4
1514bb7435
hexd6eaaa2

225356450 has 54 divisors (see below), whose sum is σ = 463132467. Its totient is φ = 81523200.

The previous prime is 225356447. The next prime is 225356479. The reversal of 225356450 is 54653522.

225356450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 29888089 + 195468361 = 5467^2 + 13981^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10615.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1167554 + ... + 1167746.

Almost surely, 2225356450 is an apocalyptic number.

225356450 is an abundant number, since it is smaller than the sum of its proper divisors (237776017).

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

225356450 is a wasteful number, since it uses less digits than its factorization.

225356450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 225356450 is about 15011.8769645904. The cubic root of 225356450 is about 608.5412154155.

Multiplying 225356450 by its sum of digits (32), we get a square (7211406400 = 849202).

The spelling of 225356450 in words is "two hundred twenty-five million, three hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 193 242 275 386 550 605 965 1210 1930 2123 3025 4246 4825 6050 9650 10615 21230 23353 37249 46706 53075 74498 106150 116765 186245 233530 372490 409739 583825 819478 931225 1167650 1862450 2048695 4097390 4507129 9014258 10243475 20486950 22535645 45071290 112678225 225356450