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4444221100 = 22521123111181
BaseRepresentation
bin1000010001110010…
…10110111010101100
3102110201120211020111
410020321112322230
533100210033400
62012555025404
7215063153554
oct41071267254
912421524214
104444221100
111980713100
12a4043b264
1355a976c37
1430234a164
151b02713ba
hex108e56eac

4444221100 has 108 divisors (see below), whose sum is σ = 10643475024. Its totient is φ = 1609520000.

The previous prime is 4444220999. The next prime is 4444221113. The reversal of 4444221100 is 11224444.

It is a super-3 number, since 3×44442211003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762510 + ... + 3763690.

Almost surely, 24444221100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321737512).

4444221100 is an abundant number, since it is smaller than the sum of its proper divisors (6199253924).

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

4444221100 is a wasteful number, since it uses less digits than its factorization.

4444221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4444221100 is about 66664.9915622885. The cubic root of 4444221100 is about 1644.1138416874.

Adding to 4444221100 its reverse (11224444), we get a palindrome (4455445544).

The spelling of 4444221100 in words is "four billion, four hundred forty-four million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 311 484 550 605 622 1100 1181 1210 1244 1555 2362 2420 3025 3110 3421 4724 5905 6050 6220 6842 7775 11810 12100 12991 13684 15550 17105 23620 25982 29525 31100 34210 37631 51964 59050 64955 68420 75262 85525 118100 129910 142901 150524 171050 188155 259820 285802 324775 342100 367291 376310 571604 649550 714505 734582 752620 940775 1299100 1429010 1469164 1836455 1881550 2858020 3572525 3672910 3763100 4040201 7145050 7345820 8080402 9182275 14290100 16160804 18364550 20201005 36729100 40402010 44442211 80804020 88884422 101005025 177768844 202010050 222211055 404020100 444422110 888844220 1111055275 2222110550 4444221100