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242212124 = 2271117167277
BaseRepresentation
bin11100110111111…
…01110100011100
3121212202122120102
432123331310130
5444001241444
640011240232
76000524540
oct1633756434
9555678512
10242212124
111147a4610
1269149078
133b2469ab
142424da20
15163e684e
hexe6fdd1c

242212124 has 96 divisors (see below), whose sum is σ = 564931584. Its totient is φ = 87966720.

The previous prime is 242212109. The next prime is 242212127. The reversal of 242212124 is 421212242.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242212096 and 242212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242212127) 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, 874274 + ... + 874550.

It is an arithmetic number, because the mean of its divisors is an integer number (5884704).

Almost surely, 2242212124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282465792).

242212124 is an abundant number, since it is smaller than the sum of its proper divisors (322719460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242212124 is a wasteful number, since it uses less digits than its factorization.

242212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 242212124 is about 15563.1656162877. The cubic root of 242212124 is about 623.3499936129.

Adding to 242212124 its reverse (421212242), we get a palindrome (663424366).

The spelling of 242212124 in words is "two hundred forty-two million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 167 187 238 277 308 334 374 476 554 668 748 1108 1169 1309 1837 1939 2338 2618 2839 3047 3674 3878 4676 4709 5236 5678 6094 7348 7756 9418 11356 12188 12859 18836 19873 21329 25718 31229 32963 39746 42658 46259 51436 51799 62458 65926 79492 85316 92518 103598 124916 131852 185036 207196 218603 323813 362593 437206 508849 647626 725186 786403 874412 1017698 1295252 1450372 1572806 2035396 3145612 3561943 5504821 7123886 8650433 11009642 14247772 17300866 22019284 34601732 60553031 121106062 242212124