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2201111020 = 225298094691
BaseRepresentation
bin1000001100110010…
…0100100111101100
312200101210000200101
42003030210213230
514001441023040
61002225240444
7105355064203
oct20314444754
95611700611
102201111020
11a2a519319
12515193124
13291030274
1416c48a23a
15cd38b09a
hex833249ec

2201111020 has 48 divisors (see below), whose sum is σ = 4788655200. Its totient is φ = 848852480.

The previous prime is 2201110999. The next prime is 2201111021. The reversal of 2201111020 is 201111022.

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 = 2201110988 and 2201111006.

It is not an unprimeable number, because it can be changed into a prime (2201111021) 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, 466875 + ... + 471565.

It is an arithmetic number, because the mean of its divisors is an integer number (99763650).

Almost surely, 22201111020 is an apocalyptic number.

2201111020 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 2201111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394327600).

2201111020 is an abundant number, since it is smaller than the sum of its proper divisors (2587544180).

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

2201111020 is a wasteful number, since it uses less digits than its factorization.

2201111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2201111020 is about 46915.9996163356. Note that the first 3 decimals coincide. The cubic root of 2201111020 is about 1300.8103468414.

Adding to 2201111020 its reverse (201111022), we get a palindrome (2402222042).

The spelling of 2201111020 in words is "two billion, two hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 809 1618 3236 4045 4691 8090 9382 16180 18764 23455 23461 46910 46922 93820 93844 117305 136039 234610 272078 469220 544156 680195 1360390 2720780 3795019 7590038 15180076 18975095 37950190 75900380 110055551 220111102 440222204 550277755 1100555510 2201111020