Search a number
-
+
2201120300 = 2252291037369
BaseRepresentation
bin1000001100110010…
…0110111000101100
312200101210111102002
42003030212320230
514001441322200
61002225351432
7105355133231
oct20314467054
95611714362
102201120300
11a2a525295
12515198578
13291034562
1416c48d788
15cd38dbd5
hex83326e2c

2201120300 has 72 divisors (see below), whose sum is σ = 4989784800. Its totient is φ = 841720320.

The previous prime is 2201120297. The next prime is 2201120393. The reversal of 2201120300 is 30211022.

It is a happy number.

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, 295016 + ... + 302384.

Almost surely, 22201120300 is an apocalyptic number.

2201120300 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 2201120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494892400).

2201120300 is an abundant number, since it is smaller than the sum of its proper divisors (2788664500).

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

2201120300 is a wasteful number, since it uses less digits than its factorization.

2201120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2201120300 is about 46916.0985163941. The cubic root of 2201120300 is about 1300.8121749338.

Adding to 2201120300 its reverse (30211022), we get a palindrome (2231331322).

The spelling of 2201120300 in words is "two billion, two hundred one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 103 116 145 206 290 412 515 580 725 1030 1450 2060 2575 2900 2987 5150 5974 7369 10300 11948 14738 14935 29476 29870 36845 59740 73690 74675 147380 149350 184225 213701 298700 368450 427402 736900 759007 854804 1068505 1518014 2137010 3036028 3795035 4274020 5342525 7590070 10685050 15180140 18975175 21370100 22011203 37950350 44022406 75900700 88044812 110056015 220112030 440224060 550280075 1100560150 2201120300