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2297955969 = 32192294
BaseRepresentation
bin1000100011111000…
…0000011010000001
312221011000020222100
42020332000122001
514201234042334
61020005101013
7110642206041
oct21076003201
95834006870
102297955969
11a7a155371
125416b7769
132a810a97a
1417b299721
15d6b1ac99
hex88f80681

2297955969 has 45 divisors (see below), whose sum is σ = 3628275573. Its totient is φ = 1401294384.

The previous prime is 2297955889. The next prime is 2297955971. The reversal of 2297955969 is 9695597922.

The square root of 2297955969 is 47937.

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

2297955969 is a `hidden beast` number, since 2 + 2 + 9 + 79 + 559 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5461569 + 2292494400 = 2337^2 + 47880^2 .

It is not a de Polignac number, because 2297955969 - 213 = 2297947777 is a prime.

It is a super-2 number, since 2×22979559692 = 10561203270925457922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2297955269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79239847 + ... + 79239875.

Almost surely, 22297955969 is an apocalyptic number.

2297955969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2297955969 is the 47937-th square number.

2297955969 is the 23969-th centered octagonal number.

It is an amenable number.

2297955969 is a deficient number, since it is larger than the sum of its proper divisors (1330319604).

2297955969 is an frugal number, since it uses more digits than its factorization.

2297955969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 51 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 63.

The cubic root of 2297955969 is about 1319.6149720694.

The spelling of 2297955969 in words is "two billion, two hundred ninety-seven million, nine hundred fifty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 29 57 87 171 261 361 551 841 1083 1653 2523 3249 4959 7569 10469 15979 24389 31407 47937 73167 94221 143811 219501 303601 463391 707281 910803 1390173 2121843 2732409 4170519 6365529 8804429 13438339 26413287 40315017 79239861 120945051 255328441 765985323 2297955969