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2221454420 = 2253121116981
BaseRepresentation
bin1000010001101000…
…1011010001010100
312201211001120120122
42010122023101110
514022143020140
61004233251112
7106023023333
oct20432132124
95654046518
102221454420
11a3aa53649
1251bb63a98
13295303a93
14171063d1a
15d0058ab5
hex8468b454

2221454420 has 48 divisors (see below), whose sum is σ = 4838647296. Its totient is φ = 855792000.

The previous prime is 2221454401. The next prime is 2221454437. The reversal of 2221454420 is 244541222.

It is a self number, because there is not a number n which added to its sum of digits gives 2221454420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122330 + ... + 139310.

It is an arithmetic number, because the mean of its divisors is an integer number (100805152).

Almost surely, 22221454420 is an apocalyptic number.

2221454420 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 2221454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419323648).

2221454420 is an abundant number, since it is smaller than the sum of its proper divisors (2617192876).

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

2221454420 is a wasteful number, since it uses less digits than its factorization.

2221454420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2221454420 is about 47132.3076031717. The cubic root of 2221454420 is about 1304.8055708734.

Adding to 2221454420 its reverse (244541222), we get a palindrome (2465995642).

The spelling of 2221454420 in words is "two billion, two hundred twenty-one million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 211 310 422 620 844 1055 2110 4220 6541 13082 16981 26164 32705 33962 65410 67924 84905 130820 169810 339620 526411 1052822 2105644 2632055 3582991 5264110 7165982 10528220 14331964 17914955 35829910 71659820 111072721 222145442 444290884 555363605 1110727210 2221454420