Search a number
-
+
242122244 = 227132192693
BaseRepresentation
bin11100110111001…
…11111000000100
3121212121002021112
432123213320010
5443440402434
640005304152
76000001520
oct1633477004
9555532245
10242122244
11114743031
1269105058
133b214b00
1424228d80
15163c9dce
hexe6e7e04

242122244 has 72 divisors (see below), whose sum is σ = 552162240. Its totient is φ = 90709632.

The previous prime is 242122241. The next prime is 242122249. The reversal of 242122244 is 442221242.

242122244 = T119 + T120 + ... + T1132.

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

It is not an unprimeable number, because it can be changed into a prime (242122241) 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, 88562 + ... + 91254.

It is an arithmetic number, because the mean of its divisors is an integer number (7668920).

Almost surely, 2242122244 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 242122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276081120).

242122244 is an abundant number, since it is smaller than the sum of its proper divisors (310039996).

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

242122244 is a wasteful number, since it uses less digits than its factorization.

242122244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2734 counting only the distinct ones).

The product of its digits is 2048, while the sum is 23.

The square root of 242122244 is about 15560.2777610170. The cubic root of 242122244 is about 623.2728798995.

Adding to 242122244 its reverse (442221242), we get a palindrome (684343486).

The spelling of 242122244 in words is "two hundred forty-two million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 338 364 494 532 676 988 1183 1729 2366 2693 3211 3458 4732 5386 6422 6916 10772 12844 18851 22477 35009 37702 44954 51167 70018 75404 89908 102334 140036 204668 245063 358169 455117 490126 665171 716338 910234 980252 1330342 1432676 1820468 2660684 3185819 4656197 6371638 8647223 9312394 12743276 17294446 18624788 34588892 60530561 121061122 242122244