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2221329216 = 263195311489
BaseRepresentation
bin1000010001100110…
…1100101101000000
312201210211012211110
42010121230231000
514022130013331
61004230443320
7106021662321
oct20431545500
95653735743
102221329216
11a3a978577
1251bb03540
1329528bab2
14171030448
15d0031946
hex8466cb40

2221329216 has 112 divisors (see below), whose sum is σ = 6303873600. Its totient is φ = 688177152.

The previous prime is 2221329193. The next prime is 2221329221. The reversal of 2221329216 is 6129231222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187600 + ... + 199088.

Almost surely, 22221329216 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 2221329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151936800).

2221329216 is an abundant number, since it is smaller than the sum of its proper divisors (4082544384).

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

2221329216 is a wasteful number, since it uses less digits than its factorization.

2221329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11566 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2221329216 is about 47130.9793660178. The cubic root of 2221329216 is about 1304.7810569116.

The spelling of 2221329216 in words is "two billion, two hundred twenty-one million, three hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 192 212 228 304 318 424 456 608 636 848 912 1007 1216 1272 1696 1824 2014 2544 3021 3392 3648 4028 5088 6042 8056 10176 11489 12084 16112 22978 24168 32224 34467 45956 48336 64448 68934 91912 96672 137868 183824 193344 218291 275736 367648 436582 551472 608917 654873 735296 873164 1102944 1217834 1309746 1746328 1826751 2205888 2435668 2619492 3492656 3653502 4871336 5238984 6985312 7307004 9742672 10477968 11569423 13970624 14614008 19485344 20955936 23138846 29228016 34708269 38970688 41911872 46277692 58456032 69416538 92555384 116912064 138833076 185110768 277666152 370221536 555332304 740443072 1110664608 2221329216