Search a number
-
+
2422013200 = 245217933827
BaseRepresentation
bin1001000001011100…
…1111110100010000
320020210110000111121
42100113033310100
514430013410300
61040200052024
7114006525655
oct22027176420
96223400447
102422013200
111033188402
12577164014
132c7a25509
1418d94dc2c
15e297381a
hex905cfd10

2422013200 has 60 divisors (see below), whose sum is σ = 5851567440. Its totient is φ = 963364480.

The previous prime is 2422013149. The next prime is 2422013203. The reversal of 2422013200 is 23102242.

It is a super-2 number, since 2×24220132002 = 11732295881948480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2422013203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54687 + ... + 88513.

It is an arithmetic number, because the mean of its divisors is an integer number (97526124).

Almost surely, 22422013200 is an apocalyptic number.

2422013200 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 2422013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925783720).

2422013200 is an abundant number, since it is smaller than the sum of its proper divisors (3429554240).

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

2422013200 is a wasteful number, since it uses less digits than its factorization.

2422013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34024 (or 34013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2422013200 is about 49213.9533059477. The cubic root of 2422013200 is about 1342.9468820582.

Adding to 2422013200 its reverse (23102242), we get a palindrome (2445115442).

The spelling of 2422013200 in words is "two billion, four hundred twenty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 33827 35800 67654 71600 135308 169135 270616 338270 541232 676540 845675 1353080 1691350 2706160 3382700 6055033 6765400 12110066 13530800 24220132 30275165 48440264 60550330 96880528 121100660 151375825 242201320 302751650 484402640 605503300 1211006600 2422013200