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22414012224 = 263116739647
BaseRepresentation
bin10100110111111110…
…101010111101000000
32010212001220210110220
4110313332222331000
5331400441342344
614144042023040
71422303650262
oct246776527500
963761823426
1022414012224
11956214214a
1244164a7a80
13216285b436
141128b51b32
158b2b5dc19
hex537faaf40

22414012224 has 28 divisors (see below), whose sum is σ = 59303741184. Its totient is φ = 7471337344.

The previous prime is 22414012211. The next prime is 22414012241. The reversal of 22414012224 is 42221041422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22414012194 and 22414012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58369632 + ... + 58370015.

Almost surely, 222414012224 is an apocalyptic number.

22414012224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22414012224 is an abundant number, since it is smaller than the sum of its proper divisors (36889728960).

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

22414012224 is a wasteful number, since it uses less digits than its factorization.

22414012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116739662 (or 116739652 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22414012224 its reverse (42221041422), we get a palindrome (64635053646).

The spelling of 22414012224 in words is "twenty-two billion, four hundred fourteen million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 116739647 233479294 350218941 466958588 700437882 933917176 1400875764 1867834352 2801751528 3735668704 5603503056 7471337408 11207006112 22414012224