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2744188225 = 52104772
BaseRepresentation
bin1010001110010000…
…1111110101000001
321002020200012112221
42203210033311001
521110003010400
61132145251041
7125001133522
oct24344176501
97066605487
102744188225
111189028259
12647033a81
133496b871c
141c0656849
15110db2c1a
hexa390fd41

2744188225 has 9 divisors (see below), whose sum is σ = 3403118217. Its totient is φ = 2195141040.

The previous prime is 2744188219. The next prime is 2744188243. The reversal of 2744188225 is 5228814472.

The square root of 2744188225 is 52385.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 46009089 + 2698179136 = 6783^2 + 51944^2 .

It is not a de Polignac number, because 2744188225 - 29 = 2744187713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256687 + ... + 267163.

Almost surely, 22744188225 is an apocalyptic number.

2744188225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2744188225 is the 52385-th square number.

2744188225 is the 26193-rd centered octagonal number.

It is an amenable number.

2744188225 is a deficient number, since it is larger than the sum of its proper divisors (658929992).

2744188225 is an frugal number, since it uses more digits than its factorization.

2744188225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20964 (or 10482 counting only the distinct ones).

The product of its digits is 286720, while the sum is 43.

The cubic root of 2744188225 is about 1400.0320103225.

It can be divided in two parts, 2744 and 188225, that added together give a square (190969 = 4372).

The spelling of 2744188225 in words is "two billion, seven hundred forty-four million, one hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 10477 52385 261925 109767529 548837645 2744188225