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20222400352 = 25721110311383
BaseRepresentation
bin10010110101010110…
…010101011101100000
31221012100000101011211
4102311112111131200
5312403413302402
613142352115504
71314062365300
oct226526253540
957170011154
1020222400352
118638021770
123b04535b94
131ba37a5a8b
14d9ba59600
157d554c4d7
hex4b5595760

20222400352 has 144 divisors (see below), whose sum is σ = 51018170112. Its totient is φ = 7801678080.

The previous prime is 20222400311. The next prime is 20222400361. The reversal of 20222400352 is 25300422202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770853 + ... + 1782235.

It is an arithmetic number, because the mean of its divisors is an integer number (354292848).

Almost surely, 220222400352 is an apocalyptic number.

20222400352 is a gapful number since it is divisible by the number (22) 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 20222400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509085056).

20222400352 is an abundant number, since it is smaller than the sum of its proper divisors (30795769760).

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

20222400352 is a wasteful number, since it uses less digits than its factorization.

20222400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11521 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 20222400352 its reverse (25300422202), we get a palindrome (45522822554).

The spelling of 20222400352 in words is "twenty billion, two hundred twenty-two million, four hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 103 112 154 176 196 206 224 308 352 392 412 539 616 721 784 824 1078 1133 1232 1442 1568 1648 2156 2266 2464 2884 3296 4312 4532 5047 5768 7931 8624 9064 10094 11383 11536 15862 17248 18128 20188 22766 23072 31724 36256 40376 45532 55517 63448 79681 80752 91064 111034 125213 126896 159362 161504 182128 222068 250426 253792 318724 364256 444136 500852 557767 637448 876491 888272 1001704 1115534 1172449 1274896 1752982 1776544 2003408 2231068 2344898 2549792 3505964 4006816 4462136 4689796 6135437 7011928 8207143 8924272 9379592 12270874 12896939 14023856 16414286 17848544 18759184 24541748 25793878 28047712 32828572 37518368 49083496 51587756 57450001 65657144 90278573 98166992 103175512 114900002 131314288 180557146 196333984 206351024 229800004 262628576 361114292 412702048 459600008 631950011 722228584 919200016 1263900022 1444457168 1838400032 2527800044 2888914336 5055600088 10111200176 20222400352