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242210172450 = 23527959934123
BaseRepresentation
bin1110000110010011011…
…0011110111000100010
3212011012001011121121210
43201210312132320202
512432021301004300
6303134140330550
723333123332161
oct3414466367042
9764161147553
10242210172450
11937a2367544
123ab37843a56
1319ac025528c
14ba1a0173d8
156478ed7050
hex3864d9ee22

242210172450 has 96 divisors (see below), whose sum is σ = 609318144000. Its totient is φ = 63663462720.

The previous prime is 242210172443. The next prime is 242210172461. The reversal of 242210172450 is 54271012242.

242210172450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7081089 + ... + 7115211.

It is an arithmetic number, because the mean of its divisors is an integer number (6347064000).

Almost surely, 2242210172450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242210172450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304659072000).

242210172450 is an abundant number, since it is smaller than the sum of its proper divisors (367107971550).

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

242210172450 is a wasteful number, since it uses less digits than its factorization.

242210172450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34816 (or 34811 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 242210172450 its reverse (54271012242), we get a palindrome (296481184692).

The spelling of 242210172450 in words is "two hundred forty-two billion, two hundred ten million, one hundred seventy-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 599 790 1185 1198 1797 1975 2370 2995 3594 3950 5925 5990 8985 11850 14975 17970 29950 34123 44925 47321 68246 89850 94642 102369 141963 170615 204738 236605 283926 341230 473210 511845 709815 853075 1023690 1183025 1419630 1706150 2366050 2559225 2695717 3549075 5118450 5391434 7098150 8087151 13478585 16174302 20439677 26957170 40435755 40879354 61319031 67392925 80871510 102198385 122638062 134785850 202178775 204396770 306595155 404357550 510991925 613190310 1021983850 1532975775 1614734483 3065951550 3229468966 4844203449 8073672415 9688406898 16147344830 24221017245 40368362075 48442034490 80736724150 121105086225 242210172450