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2242212020 = 225318274373
BaseRepresentation
bin1000010110100101…
…0111000010110100
312210021010011122122
42011221113002310
514043001241040
61010254215112
7106364326166
oct20551270264
95707104578
102242212020
11a50741094
12526ab4498
132996c0c99
14173b08936
15d1ca91b5
hex85a570b4

2242212020 has 48 divisors (see below), whose sum is σ = 4867527168. Its totient is φ = 866705280.

The previous prime is 2242212001. The next prime is 2242212031. The reversal of 2242212020 is 202122422.

It is a self number, because there is not a number n which added to its sum of digits gives 2242212020.

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, 510554 + ... + 514926.

It is an arithmetic number, because the mean of its divisors is an integer number (101406816).

Almost surely, 22242212020 is an apocalyptic number.

2242212020 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 2242212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433763584).

2242212020 is an abundant number, since it is smaller than the sum of its proper divisors (2625315148).

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

2242212020 is a wasteful number, since it uses less digits than its factorization.

2242212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2242212020 is about 47352.0012248690. The cubic root of 2242212020 is about 1308.8570766733.

Adding to 2242212020 its reverse (202122422), we get a palindrome (2444334442).

The spelling of 2242212020 in words is "two billion, two hundred forty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 827 1654 3308 4135 4373 8270 8746 16540 17492 21865 25637 43730 51274 87460 102548 128185 135563 256370 271126 512740 542252 677815 1355630 2711260 3616471 7232942 14465884 18082355 36164710 72329420 112110601 224221202 448442404 560553005 1121106010 2242212020