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2233413081 = 34592892
BaseRepresentation
bin1000010100011111…
…0010110111011001
312202122120010210000
42011013302313121
514033223204311
61005341443213
7106226461254
oct20507626731
95678503700
102233413081
11a46781339
12523b70509
13297930003
1417289809b
15d111c056
hex851f2dd9

2233413081 has 45 divisors (see below), whose sum is σ = 3432401071. Its totient is φ = 1447259616.

The previous prime is 2233413043. The next prime is 2233413113. The reversal of 2233413081 is 1803143322.

The square root of 2233413081 is 47259.

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

2233413081 is a `hidden beast` number, since 22 + 334 + 1 + 308 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 428862681 + 1804550400 = 20709^2 + 42480^2 .

It is not a de Polignac number, because 2233413081 - 231 = 85929433 is a prime.

It is a super-2 number, since 2×22334130812 = 9976267980763825122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2233414081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25094485 + ... + 25094573.

Almost surely, 22233413081 is an apocalyptic number.

2233413081 is the 47259-th square number.

2233413081 is the 23630-th centered octagonal number.

It is an amenable number.

2233413081 is a deficient number, since it is larger than the sum of its proper divisors (1198987990).

2233413081 is an frugal number, since it uses more digits than its factorization.

2233413081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 2233413081 is about 1307.1427500902.

The spelling of 2233413081 in words is "two billion, two hundred thirty-three million, four hundred thirteen thousand, eighty-one".

Divisors: 1 3 9 27 59 81 89 177 267 531 801 1593 2403 3481 4779 5251 7209 7921 10443 15753 23763 31329 47259 71289 93987 141777 213867 281961 309809 425331 467339 641601 929427 1402017 2788281 4206051 8364843 12618153 25094529 27573001 37854459 82719003 248157009 744471027 2233413081