Search a number
-
+
4421100200 = 23521111871693
BaseRepresentation
bin1000001111000010…
…01010001010101000
3102102010002011022212
410013201022022220
533023300201300
62010411304252
7214362505646
oct40741121250
912363064285
104421100200
111969661020
12a3474b088
13555c4012a
142dd24c196
151ad205935
hex10784a2a8

4421100200 has 96 divisors (see below), whose sum is σ = 11229593760. Its totient is φ = 1605369600.

The previous prime is 4421100197. The next prime is 4421100239. The reversal of 4421100200 is 20011244.

It is a super-2 number, since 2×44211002002 = 39092253956880080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610554 + ... + 2612246.

It is an arithmetic number, because the mean of its divisors is an integer number (116974935).

Almost surely, 24421100200 is an apocalyptic number.

4421100200 is a gapful number since it is divisible by the number (40) 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 4421100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614796880).

4421100200 is an abundant number, since it is smaller than the sum of its proper divisors (6808493560).

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

4421100200 is a wasteful number, since it uses less digits than its factorization.

4421100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4421100200 is about 66491.3543252053. The cubic root of 4421100200 is about 1641.2577353598.

Adding to 4421100200 its reverse (20011244), we get a palindrome (4441111444).

The spelling of 4421100200 in words is "four billion, four hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1187 1693 2200 2374 3386 4748 5935 6772 8465 9496 11870 13057 13544 16930 18623 23740 26114 29675 33860 37246 42325 47480 52228 59350 65285 67720 74492 84650 93115 104456 118700 130570 148984 169300 186230 237400 261140 326425 338600 372460 465575 522280 652850 744920 931150 1305700 1862300 2009591 2611400 3724600 4019182 8038364 10047955 16076728 20095910 22105501 40191820 44211002 50239775 80383640 88422004 100479550 110527505 176844008 200959100 221055010 401918200 442110020 552637525 884220040 1105275050 2210550100 4421100200