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2213332002 = 2327196713799
BaseRepresentation
bin1000001111101100…
…1100010000100010
312201020202220201100
42003323030100202
514013103111002
61003343215230
7105564003660
oct20373142042
95636686640
102213332002
11a36406102
125192a7516
1329371ba0b
1416dd4bc30
15ce4a211c
hex83ecc422

2213332002 has 96 divisors (see below), whose sum is σ = 5855616000. Its totient is φ = 590112864.

The previous prime is 2213332001. The next prime is 2213332003. The reversal of 2213332002 is 2002333122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2213332001) and next prime (2213332003).

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

It is not an unprimeable number, because it can be changed into a prime (2213332001) 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, 153499 + ... + 167297.

It is an arithmetic number, because the mean of its divisors is an integer number (60996000).

Almost surely, 22213332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927808000).

2213332002 is an abundant number, since it is smaller than the sum of its proper divisors (3642283998).

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

2213332002 is a wasteful number, since it uses less digits than its factorization.

2213332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2213332002 is about 47046.0625557549. The cubic root of 2213332002 is about 1303.2133528280.

Adding to 2213332002 its reverse (2002333122), we get a palindrome (4215665124).

The spelling of 2213332002 in words is "two billion, two hundred thirteen million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 67 114 126 133 134 171 201 266 342 399 402 469 603 798 938 1197 1206 1273 1407 2394 2546 2814 3819 4221 7638 8442 8911 11457 13799 17822 22914 26733 27598 41397 53466 80199 82794 96593 124191 160398 193186 248382 262181 289779 524362 579558 786543 869337 924533 1573086 1738674 1835267 1849066 2359629 2773599 3670534 4719258 5505801 5547198 6471731 8320797 11011602 12943462 16517403 16641594 17566127 19415193 33034806 35132254 38830386 52698381 58245579 105396762 116491158 122962889 158095143 245925778 316190286 368888667 737777334 1106666001 2213332002