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201102220 = 225111078543
BaseRepresentation
bin10111111110010…
…01001110001100
3112000102001101101
423333021032030
5402440232340
631542152444
74661224564
oct1377111614
9460361341
10201102220
11a3576090
1257422724
1332881bc7
141c9cbda4
15129c5c9a
hexbfc938c

201102220 has 48 divisors (see below), whose sum is σ = 465067008. Its totient is φ = 72436160.

The previous prime is 201102199. The next prime is 201102227. The reversal of 201102220 is 22201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201102197 and 201102206.

It is not an unprimeable number, because it can be changed into a prime (201102227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19269 + ... + 27811.

It is an arithmetic number, because the mean of its divisors is an integer number (9688896).

Almost surely, 2201102220 is an apocalyptic number.

201102220 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 201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232533504).

201102220 is an abundant number, since it is smaller than the sum of its proper divisors (263964788).

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

201102220 is a wasteful number, since it uses less digits than its factorization.

201102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 201102220 is about 14181.0514419771. The cubic root of 201102220 is about 585.8758837418.

Adding to 201102220 its reverse (22201102), we get a palindrome (223303322).

The spelling of 201102220 in words is "two hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 8543 11770 17086 23540 34172 42715 85430 93973 170860 187946 375892 469865 914101 939730 1828202 1879460 3656404 4570505 9141010 10055111 18282020 20110222 40220444 50275555 100551110 201102220