Search a number
-
+
20224222432 = 2531142314327
BaseRepresentation
bin10010110101011101…
…010010010011100000
31221012110102221121021
4102311131102103200
5312404400104212
613142455135224
71314114024421
oct226535222340
957173387537
1020224222432
118639056717
123b05074514
131ba3c9322b
14d9bdb1648
157d57ac307
hex4b57524e0

20224222432 has 48 divisors (see below), whose sum is σ = 41132593152. Its totient is φ = 9778354560.

The previous prime is 20224222423. The next prime is 20224222441. The reversal of 20224222432 is 23422242202.

It is an interprime number because it is at equal distance from previous prime (20224222423) and next prime (20224222441).

It is a junction number, because it is equal to n+sod(n) for n = 20224222397 and 20224222406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404453 + ... + 1418779.

It is an arithmetic number, because the mean of its divisors is an integer number (856929024).

Almost surely, 220224222432 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 20224222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566296576).

20224222432 is an abundant number, since it is smaller than the sum of its proper divisors (20908370720).

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

20224222432 is a wasteful number, since it uses less digits than its factorization.

20224222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 20224222432 its reverse (23422242202), we get a palindrome (43646464634).

The spelling of 20224222432 in words is "twenty billion, two hundred twenty-four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1423 2846 5692 11384 14327 22768 28654 44113 45536 57308 88226 114616 176452 229232 352904 444137 458464 705808 888274 1411616 1776548 3553096 7106192 14212384 20387321 40774642 81549284 163098568 326197136 632006951 652394272 1264013902 2528027804 5056055608 10112111216 20224222432