Search a number
-
+
22384740872 = 231343132
BaseRepresentation
bin10100110110001111…
…000000101000001000
32010210000211122201202
4110312033000220020
5331320443201442
614141114403332
71421500105124
oct246617005010
963700748652
1022384740872
11954766a14a
124408730548
132159780000
141124cd2584
158b02cac32
hex5363c0a08

22384740872 has 60 divisors (see below), whose sum is σ = 45614614545. Its totient is φ = 10298411136.

The previous prime is 22384740857. The next prime is 22384740881. The reversal of 22384740872 is 27804748322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 22226635396 + 158105476 = 149086^2 + 12574^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105794.

It is a super-5 number, since 5×223847408725 (a number of 53 digits) contains 55555 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71516588 + ... + 71516900.

Almost surely, 222384740872 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 22384740872

22384740872 is an abundant number, since it is smaller than the sum of its proper divisors (23229873673).

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

22384740872 is an frugal number, since it uses more digits than its factorization.

22384740872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 47.

The spelling of 22384740872 in words is "twenty-two billion, three hundred eighty-four million, seven hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 313 338 626 676 1252 1352 2197 2504 4069 4394 8138 8788 16276 17576 28561 32552 52897 57122 97969 105794 114244 195938 211588 228488 391876 423176 687661 783752 1273597 1375322 2547194 2750644 5094388 5501288 8939593 10188776 16556761 17879186 33113522 35758372 66227044 71516744 132454088 215237893 430475786 860951572 1721903144 2798092609 5596185218 11192370436 22384740872