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2221223130 = 2325717871973
BaseRepresentation
bin1000010001100101…
…0010110011011010
312201210121211022100
42010121102303122
514022113120010
61004224304230
7106021041120
oct20431226332
95653554270
102221223130
11a3a9058a5
1251ba72076
13295252719
14171003910
15d00102c0
hex84652cda

2221223130 has 96 divisors (see below), whose sum is σ = 6607246464. Its totient is φ = 507166848.

The previous prime is 2221223117. The next prime is 2221223203. The reversal of 2221223130 is 313221222.

It is a super-4 number, since 4×22212231304 (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124824 + ... + 1126796.

It is an arithmetic number, because the mean of its divisors is an integer number (68825484).

Almost surely, 22221223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303623232).

2221223130 is an abundant number, since it is smaller than the sum of its proper divisors (4386023334).

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

2221223130 is a wasteful number, since it uses less digits than its factorization.

2221223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3777 counting only the distinct ones).

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

The square root of 2221223130 is about 47129.8539144776. The cubic root of 2221223130 is about 1304.7602853835.

Adding to 2221223130 its reverse (313221222), we get a palindrome (2534444352).

The spelling of 2221223130 in words is "two billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1787 1973 3574 3946 5361 5919 8935 9865 10722 11838 12509 13811 16083 17757 17870 19730 25018 26805 27622 29595 32166 35514 37527 41433 53610 59190 62545 69055 75054 80415 82866 88785 112581 124299 125090 138110 160830 177570 187635 207165 225162 248598 375270 414330 562905 621495 1125810 1242990 3525751 7051502 10577253 17628755 21154506 24680257 31731759 35257510 49360514 52886265 63463518 74040771 105772530 123401285 148081542 158658795 222122313 246802570 317317590 370203855 444244626 740407710 1110611565 2221223130