Search a number
-
+
20222202224 = 2473110157667
BaseRepresentation
bin10010110101010101…
…100101000101110000
31221012022122022101202
4102311111211011300
5312403340432344
613142343550332
71314060611540
oct226525450560
957168568352
1020222202224
1186379a6924
123b0445b3a8
131ba3736843
14d9ba07320
157d550d94e
hex4b5565170

20222202224 has 80 divisors (see below), whose sum is σ = 46680631296. Its totient is φ = 8303904000.

The previous prime is 20222202199. The next prime is 20222202229. The reversal of 20222202224 is 42220222202.

It is a junction number, because it is equal to n+sod(n) for n = 20222202196 and 20222202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222202229) 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, 321839 + ... + 379505.

Almost surely, 220222202224 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 20222202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340315648).

20222202224 is an abundant number, since it is smaller than the sum of its proper divisors (26458429072).

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

20222202224 is a wasteful number, since it uses less digits than its factorization.

20222202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57814 (or 57808 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20222202224 its reverse (42220222202), we get a palindrome (62442424426).

The spelling of 20222202224 in words is "twenty billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 101 112 124 202 217 248 404 434 496 707 808 868 1414 1616 1736 2828 3131 3472 5656 6262 11312 12524 21917 25048 43834 50096 57667 87668 115334 175336 230668 350672 403669 461336 807338 922672 1614676 1787677 3229352 3575354 5824367 6458704 7150708 11648734 12513739 14301416 23297468 25027478 28602832 40770569 46594936 50054956 81541138 93189872 100109912 163082276 180555377 200219824 326164552 361110754 652329104 722221508 1263887639 1444443016 2527775278 2888886032 5055550556 10111101112 20222202224