Search a number
-
+
242254023 = 311291631553
BaseRepresentation
bin11100111000010…
…00000011000111
3121212211210001020
432130020003013
5444004112043
640012202223
76001060644
oct1634100307
9555753036
10242254023
11114823040
1269169373
133b25ca9b
1424260dcb
1516403e83
hexe7080c7

242254023 has 32 divisors (see below), whose sum is σ = 366992640. Its totient is φ = 140797440.

The previous prime is 242254013. The next prime is 242254037. The reversal of 242254023 is 320452242.

It is a happy number.

It is not a de Polignac number, because 242254023 - 213 = 242245831 is a prime.

It is a super-3 number, since 3×2422540233 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242253984 and 242254002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242254013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155215 + ... + 156767.

It is an arithmetic number, because the mean of its divisors is an integer number (11468520).

Almost surely, 2242254023 is an apocalyptic number.

242254023 is a deficient number, since it is larger than the sum of its proper divisors (124738617).

242254023 is a wasteful number, since it uses less digits than its factorization.

242254023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242254023 is about 15564.5116531165. The cubic root of 242254023 is about 623.3859348850.

The spelling of 242254023 in words is "two hundred forty-two million, two hundred fifty-four thousand, twenty-three".

Divisors: 1 3 11 29 33 87 163 319 489 957 1553 1793 4659 4727 5379 14181 17083 45037 51249 51997 135111 155991 253139 495407 759417 1486221 2784529 7341031 8353587 22023093 80751341 242254023