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6002422244 = 22713315211021
BaseRepresentation
bin1011001011100010…
…11011000111100100
3120111022121122100222
411211301123013210
544243110002434
62431340423512
7301513514210
oct54561330744
916438548328
106002422244
112600235745
1211b6247b98
13748736450
1440d27d940
15251e6572e
hex165c5b1e4

6002422244 has 96 divisors (see below), whose sum is σ = 13384046592. Its totient is φ = 2291328000.

The previous prime is 6002422243. The next prime is 6002422247. The reversal of 6002422244 is 4422242006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (6002422243) 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 31 ways as a sum of consecutive naturals, for example, 5878454 + ... + 5879474.

It is an arithmetic number, because the mean of its divisors is an integer number (139417152).

Almost surely, 26002422244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692023296).

6002422244 is an abundant number, since it is smaller than the sum of its proper divisors (7381624348).

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

6002422244 is a wasteful number, since it uses less digits than its factorization.

6002422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 6002422244 is about 77475.3008642109. The cubic root of 6002422244 is about 1817.3650882365.

The spelling of 6002422244 in words is "six billion, two million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 521 806 868 1021 1042 1612 2042 2084 2821 3647 4084 5642 6773 7147 7294 11284 13273 13546 14294 14588 16151 26546 27092 28588 31651 32302 47411 53092 63302 64604 92911 94822 113057 126604 185822 189644 209963 221557 226114 371644 411463 419926 443114 452228 531941 822926 839852 886228 1063882 1469741 1645852 2127764 2880241 2939482 3723587 5760482 5878964 6915233 7447174 11520964 13830466 14894348 16490171 27660932 32980342 48406631 65960684 96813262 115431197 193626524 214372223 230862394 428744446 461724788 857488892 1500605561 3001211122 6002422244