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242003322 = 23311735581
BaseRepresentation
bin11100110110010…
…10110101111010
3121212101001011000
432123022311322
5443423101242
640002545430
75665665021
oct1633126572
9555331130
10242003322
11114671750
1269068276
133b1a2942
14241d78b8
15163a4a4c
hexe6cad7a

242003322 has 64 divisors (see below), whose sum is σ = 594817920. Its totient is φ = 72316800.

The previous prime is 242003317. The next prime is 242003351. The reversal of 242003322 is 223300242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242003295 and 242003304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40572 + ... + 46152.

It is an arithmetic number, because the mean of its divisors is an integer number (9294030).

Almost surely, 2242003322 is an apocalyptic number.

242003322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297408960).

242003322 is an abundant number, since it is smaller than the sum of its proper divisors (352814598).

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

242003322 is a wasteful number, since it uses less digits than its factorization.

242003322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242003322 is about 15556.4559588616. The cubic root of 242003322 is about 623.1708198895.

Adding to 242003322 its reverse (223300242), we get a palindrome (465303564).

The spelling of 242003322 in words is "two hundred forty-two million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 438 594 657 803 1314 1606 1971 2409 3942 4818 5581 7227 11162 14454 16743 21681 33486 43362 50229 61391 100458 122782 150687 184173 301374 368346 407413 552519 814826 1105038 1222239 1657557 2444478 3315114 3666717 4481543 7333434 8963086 11000151 13444629 22000302 26889258 40333887 80667774 121001661 242003322