Search a number
-
+
242213331 = 31731115271
BaseRepresentation
bin11100110111111…
…10000111010011
3121212202201020010
432123332013103
5444001311311
640011250003
76000531213
oct1633760723
9555681203
10242213331
111147a5508
1269149903
133b2473c9
1424250243
15163e6da6
hexe6fe1d3

242213331 has 16 divisors (see below), whose sum is σ = 343070208. Its totient is φ = 151478400.

The previous prime is 242213317. The next prime is 242213347. The reversal of 242213331 is 133312242.

It is not a de Polignac number, because 242213331 - 26 = 242213267 is a prime.

It is a super-2 number, since 2×2422133312 = 117334595428231122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242213298 and 242213307.

It is not an unprimeable number, because it can be changed into a prime (242213381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226 + ... + 23496.

It is an arithmetic number, because the mean of its divisors is an integer number (21441888).

Almost surely, 2242213331 is an apocalyptic number.

242213331 is a deficient number, since it is larger than the sum of its proper divisors (100856877).

242213331 is a wasteful number, since it uses less digits than its factorization.

242213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15602.

The product of its digits is 864, while the sum is 21.

The square root of 242213331 is about 15563.2043936973. The cubic root of 242213331 is about 623.3510290444.

Adding to 242213331 its reverse (133312242), we get a palindrome (375525573).

It can be divided in two parts, 2422 and 13331, that added together give a triangular number (15753 = T177).

The spelling of 242213331 in words is "two hundred forty-two million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 17 51 311 933 5287 15271 15861 45813 259607 778821 4749281 14247843 80737777 242213331