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2221001220 = 2235375631777
BaseRepresentation
bin1000010001100001…
…1100101000000100
312201210012112220110
42010120130220010
514022034014340
61004215433020
7106016125134
oct20430345004
95653175813
102221001220
11a3a7740a9
1251b985770
132951a5709
14170d86ac4
15ceeb9680
hex8461ca04

2221001220 has 96 divisors (see below), whose sum is σ = 6401824128. Its totient is φ = 574912512.

The previous prime is 2221001207. The next prime is 2221001243. The reversal of 2221001220 is 221001222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2221001196 and 2221001205.

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, 1248972 + ... + 1250748.

It is an arithmetic number, because the mean of its divisors is an integer number (66685668).

Almost surely, 22221001220 is an apocalyptic number.

2221001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200912064).

2221001220 is an abundant number, since it is smaller than the sum of its proper divisors (4180822908).

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

2221001220 is a wasteful number, since it uses less digits than its factorization.

2221001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2221001220 is about 47127.4996154050. The cubic root of 2221001220 is about 1304.7168334983.

Adding to 2221001220 its reverse (221001222), we get a palindrome (2442002442).

The spelling of 2221001220 in words is "two billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 563 740 1110 1126 1689 1777 2220 2252 2815 3378 3554 5331 5630 6756 7108 8445 8885 10662 11260 16890 17770 20831 21324 26655 33780 35540 41662 53310 62493 65749 83324 104155 106620 124986 131498 197247 208310 249972 262996 312465 328745 394494 416620 624930 657490 788988 986235 1000451 1249860 1314980 1972470 2000902 3001353 3944940 4001804 5002255 6002706 10004510 12005412 15006765 20009020 30013530 37016687 60027060 74033374 111050061 148066748 185083435 222100122 370166870 444200244 555250305 740333740 1110500610 2221001220