Search a number
-
+
18227430081 = 347221432
BaseRepresentation
bin10000111110011100…
…001000001011000001
31202001022010101110000
4100332130020023001
5244312210230311
612212405030213
71213456412400
oct207634101301
952038111400
1018227430081
117803a00003
1236483b5369
13194639cbb3
14c4cb0d637
1571a330056
hex43e7082c1

18227430081 has 45 divisors (see below), whose sum is σ = 31688907921. Its totient is φ = 10410814008.

The previous prime is 18227430071. The next prime is 18227430119. The reversal of 18227430081 is 18003472281.

The square root of 18227430081 is 135009.

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

18227430081 is a `hidden beast` number, since 1 + 8 + 2 + 274 + 300 + 81 = 666.

It is not a de Polignac number, because 18227430081 - 217 = 18227299009 is a prime.

It is a super-2 number, since 2×182274300812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18227430071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8504496 + ... + 8506638.

Almost surely, 218227430081 is an apocalyptic number.

18227430081 is the 135009-th square number.

18227430081 is the 67505-th centered octagonal number.

It is an amenable number.

18227430081 is a deficient number, since it is larger than the sum of its proper divisors (13461477840).

18227430081 is an frugal number, since it uses more digits than its factorization.

18227430081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 18227430081 by its sum of digits (36), we get a square (656187482916 = 8100542).

The spelling of 18227430081 in words is "eighteen billion, two hundred twenty-seven million, four hundred thirty thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 2143 3969 6429 15001 19287 45003 57861 105007 135009 173583 315021 405027 945063 1215081 2835189 4592449 8505567 13777347 32147143 41332041 96441429 123996123 225030001 289324287 371988369 675090003 867972861 2025270009 2603918583 6075810027 18227430081