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2221221330 = 2325414313999
BaseRepresentation
bin1000010001100101…
…0010010111010010
312201210121201211200
42010121102113102
514022113040310
61004224252030
7106021032636
oct20431222722
95653551750
102221221330
11a3a904509
1251ba71016
13295251963
14171002dc6
15d000e9c0
hex846525d2

2221221330 has 96 divisors (see below), whose sum is σ = 6054048000. Its totient is φ = 564399360.

The previous prime is 2221221313. The next prime is 2221221347. The reversal of 2221221330 is 331221222.

It is an interprime number because it is at equal distance from previous prime (2221221313) and next prime (2221221347).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151671 + ... + 165669.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 22221221330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024000).

2221221330 is an abundant number, since it is smaller than the sum of its proper divisors (3832826670).

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

2221221330 is a wasteful number, since it uses less digits than its factorization.

2221221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2221221330 is about 47129.8348182974. The cubic root of 2221221330 is about 1304.7599329397.

Adding to 2221221330 its reverse (331221222), we get a palindrome (2552442552).

The spelling of 2221221330 in words is "two billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 43 45 82 86 90 123 129 205 215 246 258 369 387 410 430 615 645 738 774 1230 1290 1763 1845 1935 3526 3690 3870 5289 8815 10578 13999 15867 17630 26445 27998 31734 41997 52890 69995 79335 83994 125991 139990 158670 209985 251982 419970 573959 601957 629955 1147918 1203914 1259910 1721877 1805871 2869795 3009785 3443754 3611742 5165631 5417613 5739590 6019570 8609385 9029355 10331262 10835226 17218770 18058710 24680237 25828155 27088065 49360474 51656310 54176130 74040711 123401185 148081422 222122133 246802370 370203555 444244266 740407110 1110610665 2221221330