Search a number
-
+
2201101144 = 2311163173887
BaseRepresentation
bin1000001100110010…
…0010001101011000
312200101202112010121
42003030202031120
514001440214034
61002225123024
7105355023334
oct20314421530
95611675117
102201101144
11a2a511960
12515189474
13291028918
1416c4867c4
15cd3881b4
hex83322358

2201101144 has 64 divisors (see below), whose sum is σ = 4561194240. Its totient is φ = 987500160.

The previous prime is 2201101139. The next prime is 2201101223. The reversal of 2201101144 is 4411011022.

It is a happy number.

It is a super-2 number, since 2×22011011442 = 9689692492236217472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481069 + ... + 2481955.

It is an arithmetic number, because the mean of its divisors is an integer number (71268660).

Almost surely, 22201101144 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 2201101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280597120).

2201101144 is an abundant number, since it is smaller than the sum of its proper divisors (2360093096).

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

2201101144 is a wasteful number, since it uses less digits than its factorization.

2201101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2201101144 is about 46915.8943642770. The cubic root of 2201101144 is about 1300.8084013357.

Adding to 2201101144 its reverse (4411011022), we get a palindrome (6612112166).

The spelling of 2201101144 in words is "two billion, two hundred one million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 163 173 326 346 652 692 887 1304 1384 1774 1793 1903 3548 3586 3806 7096 7172 7612 9757 14344 15224 19514 28199 39028 56398 78056 112796 144581 153451 225592 289162 306902 310189 578324 613804 620378 1156648 1227608 1240756 1590391 1687961 2481512 3180782 3375922 6361564 6751844 12723128 13503688 25012513 50025026 100050052 200100104 275137643 550275286 1100550572 2201101144