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242244420 = 223511261547
BaseRepresentation
bin11100111000001…
…01101101000100
3121212211021212120
432130011231010
5444003310140
640012045540
76001020645
oct1634055504
9555737776
10242244420
11114816900
12691638b0
133b2585c2
142425b6cc
15164011d0
hexe705b44

242244420 has 144 divisors (see below), whose sum is σ = 759159744. Its totient is φ = 57657600.

The previous prime is 242244419. The next prime is 242244421. The reversal of 242244420 is 24442242.

It is an interprime number because it is at equal distance from previous prime (242244419) and next prime (242244421).

It is a super-2 number, since 2×2422444202 = 117364718042272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242244421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442587 + ... + 443133.

Almost surely, 2242244420 is an apocalyptic number.

242244420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379579872).

242244420 is an abundant number, since it is smaller than the sum of its proper divisors (516915324).

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

242244420 is a wasteful number, since it uses less digits than its factorization.

242244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242244420 is about 15564.2031598152. The cubic root of 242244420 is about 623.3776977267.

Adding to 242244420 its reverse (24442242), we get a palindrome (266686662).

The spelling of 242244420 in words is "two hundred forty-two million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 121 122 132 165 183 220 242 244 305 330 363 366 484 547 605 610 660 671 726 732 915 1094 1210 1220 1342 1452 1641 1815 1830 2013 2188 2420 2684 2735 3282 3355 3630 3660 4026 5470 6017 6564 6710 7260 7381 8052 8205 10065 10940 12034 13420 14762 16410 18051 20130 22143 24068 29524 30085 32820 33367 36102 36905 40260 44286 60170 66187 66734 72204 73810 88572 90255 100101 110715 120340 132374 133468 147620 166835 180510 198561 200202 221430 264748 330935 333670 361020 367037 397122 400404 442860 500505 661870 667340 734074 794244 992805 1001010 1101111 1323740 1468148 1835185 1985610 2002020 2202222 3670370 3971220 4037407 4404444 5505555 7340740 8074814 11011110 12112221 16149628 20187035 22022220 24224442 40374070 48448884 60561105 80748140 121122210 242244420