Search a number
-
+
22123421424 = 24321323513829
BaseRepresentation
bin10100100110101010…
…001001111011110000
32010002211010020211200
4110212222021323300
5330302043441144
614055141411200
71412144656626
oct244652117360
963084106750
1022123421424
119423104a65
124355109b00
1321175a6310
1410dc30b516
158973acc69
hex526a89ef0

22123421424 has 120 divisors (see below), whose sum is σ = 69576692640. Its totient is φ = 6511228416.

The previous prime is 22123421417. The next prime is 22123421449. The reversal of 22123421424 is 42412432122.

It is a happy number.

22123421424 is a `hidden beast` number, since 2 + 2 + 1 + 234 + 2 + 1 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 213859 + ... + 299970.

It is an arithmetic number, because the mean of its divisors is an integer number (579805772).

Almost surely, 222123421424 is an apocalyptic number.

22123421424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22123421424 is an abundant number, since it is smaller than the sum of its proper divisors (47453271216).

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

22123421424 is a wasteful number, since it uses less digits than its factorization.

22123421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513879 (or 513870 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22123421424 its reverse (42412432122), we get a palindrome (64535853546).

The spelling of 22123421424 in words is "twenty-two billion, one hundred twenty-three million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3312 3588 4784 5382 7176 10764 14352 21528 43056 513829 1027658 1541487 2055316 3082974 4110632 4624461 6165948 6679777 8221264 9248922 11818067 12331896 13359554 18497844 20039331 23636134 24663792 26719108 35454201 36995688 40078662 47272268 53438216 60117993 70908402 73991376 80157324 94544536 106362603 106876432 120235986 141816804 153634871 160314648 189089072 212725206 240471972 283633608 307269742 320629296 425450412 460904613 480943944 567267216 614539484 850900824 921809226 961887888 1229078968 1382713839 1701801648 1843618452 2458157936 2765427678 3687236904 5530855356 7374473808 11061710712 22123421424