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242254332 = 2232191492377
BaseRepresentation
bin11100111000010…
…00000111111100
3121212211210110200
432130020013330
5444004114312
640012203500
76001061565
oct1634100774
9555753420
10242254332
111148232a1
1269169590
133b25cc78
142426116c
15164040dc
hexe7081fc

242254332 has 72 divisors (see below), whose sum is σ = 649194000. Its totient is φ = 75955968.

The previous prime is 242254319. The next prime is 242254333. The reversal of 242254332 is 233452242.

It is a happy number.

242254332 is a `hidden beast` number, since 2 + 4 + 225 + 433 + 2 = 666.

242254332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422543322 = 117374322745532448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242254296 and 242254305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242254333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100728 + ... + 103104.

Almost surely, 2242254332 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 242254332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324597000).

242254332 is an abundant number, since it is smaller than the sum of its proper divisors (406939668).

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

242254332 is a wasteful number, since it uses less digits than its factorization.

242254332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2550 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 242254332 is about 15564.5215795411. The cubic root of 242254332 is about 623.3861999321.

The spelling of 242254332 in words is "two hundred forty-two million, two hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 149 171 228 298 342 447 596 684 894 1341 1788 2377 2682 2831 4754 5364 5662 7131 8493 9508 11324 14262 16986 21393 25479 28524 33972 42786 45163 50958 85572 90326 101916 135489 180652 270978 354173 406467 541956 708346 812934 1062519 1416692 1625868 2125038 3187557 4250076 6375114 6729287 12750228 13458574 20187861 26917148 40375722 60563583 80751444 121127166 242254332