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2076169225 = 521327012
BaseRepresentation
bin111101110111111…
…1101010000001001
312100200200022202111
41323233331100021
513222444403400
6542003302321
7102310101334
oct17357752011
95320608674
102076169225
11975a41739
1249b37a9a1
13271195c00
14159a4561b
15c240b3ba
hex7bbfd409

2076169225 has 27 divisors (see below), whose sum is σ = 2791700319. Its totient is φ = 1530984000.

The previous prime is 2076169213. The next prime is 2076169237. The reversal of 2076169225 is 5229616702.

The square root of 2076169225 is 45565.

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

It is an interprime number because it is at equal distance from previous prime (2076169213) and next prime (2076169237).

It can be written as a sum of positive squares in 13 ways, for example, as 1299097849 + 777071376 = 36043^2 + 27876^2 .

It is a de Polignac number, because none of the positive numbers 2k-2076169225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2961375 + ... + 2962075.

Almost surely, 22076169225 is an apocalyptic number.

2076169225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2076169225 is the 45565-th square number.

2076169225 is the 22783-rd centered octagonal number.

It is an amenable number.

2076169225 is a deficient number, since it is larger than the sum of its proper divisors (715531094).

2076169225 is an frugal number, since it uses more digits than its factorization.

2076169225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The cubic root of 2076169225 is about 1275.7167263344.

The spelling of 2076169225 in words is "two billion, seventy-six million, one hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 701 845 3505 4225 9113 17525 45565 118469 227825 491401 592345 2457005 2961725 6388213 12285025 31941065 83046769 159705325 415233845 2076169225