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2007223686 = 2331314391987
BaseRepresentation
bin111011110100011…
…1100110110000110
312011212221112021000
41313220330312012
513102322124221
6531101434130
7100512056046
oct16750746606
95155845230
102007223686
11940030956
1248026b946
1325cb06330
14150819726
15bb33ce26
hex77a3cd86

2007223686 has 64 divisors (see below), whose sum is σ = 4809369600. Its totient is φ = 616867488.

The previous prime is 2007223679. The next prime is 2007223709. The reversal of 2007223686 is 6863227002.

It is a self number, because there is not a number n which added to its sum of digits gives 2007223686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009185 + ... + 1011171.

It is an arithmetic number, because the mean of its divisors is an integer number (75146400).

Almost surely, 22007223686 is an apocalyptic number.

2007223686 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007223686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404684800).

2007223686 is an abundant number, since it is smaller than the sum of its proper divisors (2802145914).

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

2007223686 is a wasteful number, since it uses less digits than its factorization.

2007223686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2007223686 is about 44802.0500200605. The cubic root of 2007223686 is about 1261.4361063158.

The spelling of 2007223686 in words is "two billion, seven million, two hundred twenty-three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1439 1987 2878 3974 4317 5961 8634 11922 12951 17883 18707 25831 25902 35766 37414 38853 51662 53649 56121 77493 77706 107298 112242 154986 168363 232479 336726 464958 505089 697437 1010178 1394874 2859293 5718586 8577879 17155758 25733637 37170809 51467274 74341618 77200911 111512427 154401822 223024854 334537281 669074562 1003611843 2007223686