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2002424022 = 23219231931319
BaseRepresentation
bin111011101011010…
…1001000011010110
312011112220200100200
41313112221003112
513100110032042
6530410521330
7100423215624
oct16726510326
95145820320
102002424022
11938352895
1247a736246
1325bb157b1
1414dd2a514
15babe0c4c
hex775a90d6

2002424022 has 96 divisors (see below), whose sum is σ = 4793817600. Its totient is φ = 601261056.

The previous prime is 2002424009. The next prime is 2002424027. The reversal of 2002424022 is 2204242002.

2002424022 is a `hidden beast` number, since 20 + 0 + 242 + 402 + 2 = 666.

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 = 2002423986 and 2002424004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002424027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1517479 + ... + 1518797.

It is an arithmetic number, because the mean of its divisors is an integer number (49935600).

Almost surely, 22002424022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002424022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396908800).

2002424022 is an abundant number, since it is smaller than the sum of its proper divisors (2791393578).

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

2002424022 is a wasteful number, since it uses less digits than its factorization.

2002424022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2002424022 is about 44748.4527330275. The cubic root of 2002424022 is about 1260.4298571141.

Adding to 2002424022 its reverse (2204242002), we get a palindrome (4206666024).

The spelling of 2002424022 in words is "two billion, two million, four hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 193 207 342 386 414 437 579 874 1158 1311 1319 1737 2622 2638 3474 3667 3933 3957 4439 7334 7866 7914 8878 11001 11871 13317 22002 23742 25061 26634 30337 33003 39951 50122 60674 66006 75183 79902 84341 91011 150366 168682 182022 225549 253023 254567 273033 451098 506046 509134 546066 576403 759069 763701 1152806 1518138 1527402 1729209 2291103 3458418 4582206 4836773 5187627 5855041 9673546 10375254 11710082 14510319 17565123 29020638 35130246 43530957 52695369 87061914 105390738 111245779 222491558 333737337 667474674 1001212011 2002424022