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2822053129 = 7275892
BaseRepresentation
bin1010100000110101…
…0001110100001001
321021200012011010021
42220031101310021
521234421200004
61144010220441
7126635025100
oct25015216411
97250164107
102822053129
111218a80315
12669124721
1335c87c02c
141cab25037
15117b43d54
hexa8351d09

2822053129 has 9 divisors (see below), whose sum is σ = 3283229127. Its totient is φ = 2418583944.

The previous prime is 2822053127. The next prime is 2822053183. The reversal of 2822053129 is 9213502282.

The square root of 2822053129 is 53123.

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

It can be written as a sum of positive squares in only one way, i.e., 36324729 + 2785728400 = 6027^2 + 52780^2 .

It is not a de Polignac number, because 2822053129 - 21 = 2822053127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2822053094 and 2822053103.

It is not an unprimeable number, because it can be changed into a prime (2822053121) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 368067 + ... + 375655.

Almost surely, 22822053129 is an apocalyptic number.

2822053129 is the 53123-rd square number.

2822053129 is the 26562-nd centered octagonal number.

It is an amenable number.

2822053129 is a deficient number, since it is larger than the sum of its proper divisors (461175998).

2822053129 is an frugal number, since it uses more digits than its factorization.

2822053129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 2822053129 is about 1413.1504307424.

The spelling of 2822053129 in words is "two billion, eight hundred twenty-two million, fifty-three thousand, one hundred twenty-nine".

Divisors: 1 7 49 7589 53123 371861 57592921 403150447 2822053129