Search a number
-
+
2221620102 = 233135953639
BaseRepresentation
bin1000010001101011…
…0011101110000110
312201211100222212000
42010122303232012
514022213320402
61004241010130
7106024313352
oct20432635606
95654328760
102221620102
11a40057079
12520023946
13295361310
141710a8462
15d008cc1c
hex846b3b86

2221620102 has 64 divisors (see below), whose sum is σ = 5406912000. Its totient is φ = 671976864.

The previous prime is 2221620097. The next prime is 2221620131. The reversal of 2221620102 is 2010261222.

2221620102 is a `hidden beast` number, since 22 + 21 + 620 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×22216201022 = 9871191755220980808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 14599 + ... + 68237.

It is an arithmetic number, because the mean of its divisors is an integer number (84483000).

Almost surely, 22221620102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221620102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703456000).

2221620102 is an abundant number, since it is smaller than the sum of its proper divisors (3185291898).

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

2221620102 is a wasteful number, since it uses less digits than its factorization.

2221620102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53722 (or 53716 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2221620102 is about 47134.0651970525. The cubic root of 2221620102 is about 1304.8380086943.

Adding to 2221620102 its reverse (2010261222), we get a palindrome (4231881324).

The spelling of 2221620102 in words is "two billion, two hundred twenty-one million, six hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 6903 13806 20709 41418 53639 107278 160917 321834 482751 697307 965502 1394614 1448253 2091921 2896506 3164701 4183842 6275763 6329402 9494103 12551526 18827289 18988206 28482309 37654578 41141113 56964618 82282226 85446927 123423339 170893854 246846678 370270017 740540034 1110810051 2221620102