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2201104444 = 22711171313209
BaseRepresentation
bin1000001100110010…
…0011000000111100
312200101202200122211
42003030203000330
514001440320234
61002225150204
7105355036060
oct20314430074
95611680584
102201104444
11a2a514390
1251518b364
1329102a286
1416c487aa0
15cd389164
hex8332303c

2201104444 has 96 divisors (see below), whose sum is σ = 5125317120. Its totient is φ = 800716800.

The previous prime is 2201104421. The next prime is 2201104459. The reversal of 2201104444 is 4444011022.

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

It is a congruent number.

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, 684312 + ... + 687520.

It is an arithmetic number, because the mean of its divisors is an integer number (53388720).

Almost surely, 22201104444 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 2201104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562658560).

2201104444 is an abundant number, since it is smaller than the sum of its proper divisors (2924212676).

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

2201104444 is a wasteful number, since it uses less digits than its factorization.

2201104444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3377 counting only the distinct ones).

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

The square root of 2201104444 is about 46915.9295335817. The cubic root of 2201104444 is about 1300.8090514142.

Adding to 2201104444 its reverse (4444011022), we get a palindrome (6645115466).

The spelling of 2201104444 in words is "two billion, two hundred one million, one hundred four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 131 154 187 238 262 308 374 476 524 748 917 1309 1441 1834 2227 2618 2882 3209 3668 4454 5236 5764 6418 8908 10087 12836 15589 20174 22463 24497 31178 35299 40348 44926 48994 54553 62356 70598 89852 97988 109106 141196 171479 218212 247093 342958 381871 420379 494186 600083 685916 763742 840758 988372 1200166 1527484 1681516 2400332 2942653 4200581 4624169 5885306 7146443 8401162 9248338 11770612 14292886 16802324 18496676 28585772 32369183 50025101 64738366 78610873 100050202 129476732 157221746 200100404 314443492 550276111 1100552222 2201104444