Search a number
-
+
2221563064 = 237972411697
BaseRepresentation
bin1000010001101010…
…0101110010111000
312201211021002121111
42010122211302320
514022210004224
61004235450104
7106023655150
oct20432456270
95654232544
102221563064
11a40018236
1251bbb6934
13295341376
14171091760
15d007ad94
hex846a5cb8

2221563064 has 64 divisors (see below), whose sum is σ = 4832372160. Its totient is φ = 937820160.

The previous prime is 2221563061. The next prime is 2221563073. The reversal of 2221563064 is 4603651222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221563061) 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, 1308264 + ... + 1309960.

It is an arithmetic number, because the mean of its divisors is an integer number (75505815).

Almost surely, 22221563064 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 2221563064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416186080).

2221563064 is an abundant number, since it is smaller than the sum of its proper divisors (2610809096).

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

2221563064 is a wasteful number, since it uses less digits than its factorization.

2221563064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2221563064 is about 47133.4601318426. The cubic root of 2221563064 is about 1304.8268417705.

The spelling of 2221563064 in words is "two billion, two hundred twenty-one million, five hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 97 194 241 388 482 679 776 964 1358 1687 1697 1928 2716 3374 3394 5432 6748 6788 11879 13496 13576 23377 23758 46754 47516 93508 95032 163639 164609 187016 327278 329218 408977 654556 658436 817954 1152263 1309112 1316872 1635908 2304526 2862839 3271816 4609052 5725678 9218104 11451356 22902712 39670769 79341538 158683076 277695383 317366152 555390766 1110781532 2221563064