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22149424 = 2411317397
BaseRepresentation
bin101010001111…
…1100100110000
31112200022022001
41110133210300
521132240144
62110423344
7356160403
oct124374460
945608261
1022149424
1111559210
127501b54
13478688b
142d27d3a
151e27bd4
hex151f930

22149424 has 40 divisors (see below), whose sum is σ = 47081808. Its totient is φ = 10010880.

The previous prime is 22149397. The next prime is 22149431. The reversal of 22149424 is 42494122.

It is a junction number, because it is equal to n+sod(n) for n = 22149392 and 22149401.

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, 55594 + ... + 55990.

Almost surely, 222149424 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 22149424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540904).

22149424 is an abundant number, since it is smaller than the sum of its proper divisors (24932384).

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

22149424 is a wasteful number, since it uses less digits than its factorization.

22149424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 22149424 is about 4706.3174563559. The cubic root of 22149424 is about 280.8368839248.

The spelling of 22149424 in words is "twenty-two million, one hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 317 397 634 794 1268 1588 2536 3176 3487 4367 5072 6352 6974 8734 13948 17468 27896 34936 55792 69872 125849 251698 503396 1006792 1384339 2013584 2768678 5537356 11074712 22149424