Search a number
-
+
242232232242 = 237111323102439
BaseRepresentation
bin1110000110011000101…
…0101000100100110010
3212011020120200100222010
43201212022220210302
512432042422412432
6303140245223350
723333512000350
oct3414612504462
9764216610863
10242232232242
1193803864380
123ab43101b56
1319ac49aa100
14ba1cd1a7d0
15647ade33cc
hex38662a8932

242232232242 has 96 divisors (see below), whose sum is σ = 654043991040. Its totient is φ = 58077639360.

The previous prime is 242232232241. The next prime is 242232232243.

It is a happy number.

242232232242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (242232232241) and next prime (242232232243).

It is not an unprimeable number, because it can be changed into a prime (242232232241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473142 + ... + 1629297.

It is an arithmetic number, because the mean of its divisors is an integer number (6812958240).

Almost surely, 2242232232242 is an apocalyptic number.

242232232242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242232232242 is an abundant number, since it is smaller than the sum of its proper divisors (411811758798).

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

242232232242 is a wasteful number, since it uses less digits than its factorization.

242232232242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102488 (or 3102475 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 242232 and 232242, that added together give a palindrome (474474).

The spelling of 242232232242 in words is "two hundred forty-two billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2366 3003 3549 3718 5577 6006 7098 11154 13013 26026 39039 78078 3102439 6204878 9307317 18614634 21717073 34126829 40331707 43434146 65151219 68253658 80663414 102380487 120995121 130302438 204760974 238887803 241990242 282321949 443648777 477775606 524312191 564643898 716663409 846965847 887297554 1048624382 1330946331 1433326818 1572936573 1693931694 2661892662 3105541439 3145873146 3670185337 5767434101 6211082878 7340370674 9316624317 11010556011 11534868202 17302302303 18633248634 22021112022 34604604606 40372038707 80744077414 121116116121 242232232242