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2422313089 = 72792892
BaseRepresentation
bin1001000001100001…
…1001000010000001
320020211000020212121
42100120121002001
514430103004324
61040210324241
7114012215200
oct22030310201
96224006777
102422313089
111033372749
12577289681
132c7acbb71
1418d9cb237
15e29d25e4
hex90619081

2422313089 has 27 divisors (see below), whose sum is σ = 2886339267. Its totient is φ = 2026952928.

The previous prime is 2422313063. The next prime is 2422313129. The reversal of 2422313089 is 9803132242.

It is a happy number.

The square root of 2422313089 is 49217.

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., 465135489 + 1957177600 = 21567^2 + 44240^2 .

It is not a de Polignac number, because 2422313089 - 27 = 2422312961 is a prime.

It is a super-2 number, since 2×24223130892 = 11735201402281443842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2422310089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27216957 + ... + 27217045.

Almost surely, 22422313089 is an apocalyptic number.

2422313089 is the 49217-th square number.

2422313089 is the 24609-th centered octagonal number.

It is an amenable number.

2422313089 is a deficient number, since it is larger than the sum of its proper divisors (464026178).

2422313089 is an frugal number, since it uses more digits than its factorization.

2422313089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 2422313089 is about 1343.0023068011.

Multiplying 2422313089 by its product of nonzero digits (20736), we get a square (50229084213504 = 70872482).

The spelling of 2422313089 in words is "two billion, four hundred twenty-two million, three hundred thirteen thousand, eighty-nine".

Divisors: 1 7 49 79 89 553 623 3871 4361 6241 7031 7921 43687 49217 55447 305809 344519 388129 555449 625759 3888143 4380313 27217001 30662191 49434961 346044727 2422313089