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2201211220 = 2251350916633
BaseRepresentation
bin1000001100110011…
…1101000101010100
312200101222010010111
42003030331011110
514002002224340
61002231332404
7105355662265
oct20314750524
95611863114
102201211220
11a2a58762a
12515221104
13291066a60
1416c4b496c
15cd3aaaea
hex8333d154

2201211220 has 48 divisors (see below), whose sum is σ = 4988203920. Its totient is φ = 811109376.

The previous prime is 2201211197. The next prime is 2201211227. The reversal of 2201211220 is 221121022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 188073796 + 2013137424 = 13714^2 + 44868^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2201211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201211227) 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, 124024 + ... + 140656.

It is an arithmetic number, because the mean of its divisors is an integer number (103920915).

Almost surely, 22201211220 is an apocalyptic number.

2201211220 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 2201211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494101960).

2201211220 is an abundant number, since it is smaller than the sum of its proper divisors (2786992700).

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

2201211220 is a wasteful number, since it uses less digits than its factorization.

2201211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17164 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2201211220 is about 46917.0674701648. The cubic root of 2201211220 is about 1300.8300852399.

Adding to 2201211220 its reverse (221121022), we get a palindrome (2422332242).

The spelling of 2201211220 in words is "two billion, two hundred one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 5090 6617 10180 13234 16633 26468 33085 33266 66170 66532 83165 132340 166330 216229 332660 432458 864916 1081145 2162290 4324580 8466197 16932394 33864788 42330985 84661970 110060561 169323940 220121122 440242244 550302805 1100605610 2201211220