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2002227136 = 267131272707
BaseRepresentation
bin111011101010111…
…1000111111000000
312011112112200021121
41313111320333000
513100032232021
6530402402024
7100421435620
oct16725707700
95145480247
102002227136
11938228978
1247a660314
1325ba76cb0
1414dcb8880
15baba2741
hex77578fc0

2002227136 has 112 divisors (see below), whose sum is σ = 4930379776. Its totient is φ = 785562624.

The previous prime is 2002227133. The next prime is 2002227167. The reversal of 2002227136 is 6317222002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2002227136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002227133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738295 + ... + 741001.

It is an arithmetic number, because the mean of its divisors is an integer number (44021248).

Almost surely, 22002227136 is an apocalyptic number.

2002227136 is a gapful number since it is divisible by the number (26) 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 2002227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465189888).

2002227136 is an abundant number, since it is smaller than the sum of its proper divisors (2928152640).

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

2002227136 is a wasteful number, since it uses less digits than its factorization.

2002227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2002227136 is about 44746.2527593094. The cubic root of 2002227136 is about 1260.3885456629.

Adding to 2002227136 its reverse (6317222002), we get a palindrome (8319449138).

The spelling of 2002227136 in words is "two billion, two million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 182 208 224 254 364 416 448 508 728 832 889 1016 1456 1651 1778 2032 2707 2912 3302 3556 4064 5414 5824 6604 7112 8128 10828 11557 13208 14224 18949 21656 23114 26416 28448 35191 37898 43312 46228 52832 56896 70382 75796 86624 92456 105664 140764 151592 173248 184912 246337 281528 303184 343789 369824 492674 563056 606368 687578 739648 985348 1126112 1212736 1375156 1970696 2252224 2406523 2750312 3941392 4469257 4813046 5500624 7882784 8938514 9626092 11001248 15765568 17877028 19252184 22002496 31284799 35754056 38504368 62569598 71508112 77008736 125139196 143016224 154017472 250278392 286032448 500556784 1001113568 2002227136