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22140224 = 262979151
BaseRepresentation
bin101010001110…
…1010101000000
31112122211200022
41110131111000
521131441344
62110313012
7356121521
oct124352500
945584608
1022140224
1111552307
1274b8768
134782632
142d24848
151e250ee
hex151d540

22140224 has 56 divisors (see below), whose sum is σ = 46329600. Its totient is φ = 10483200.

The previous prime is 22140221. The next prime is 22140233. The reversal of 22140224 is 42204122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22140221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146549 + ... + 146699.

Almost surely, 222140224 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 22140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164800).

22140224 is an abundant number, since it is smaller than the sum of its proper divisors (24189376).

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

22140224 is a wasteful number, since it uses less digits than its factorization.

22140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22140224 is about 4705.3399452112. The cubic root of 22140224 is about 280.7979956730.

Adding to 22140224 its reverse (42204122), we get a palindrome (64344346).

The spelling of 22140224 in words is "twenty-two million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 79 116 151 158 232 302 316 464 604 632 928 1208 1264 1856 2291 2416 2528 4379 4582 4832 5056 8758 9164 9664 11929 17516 18328 23858 35032 36656 47716 70064 73312 95432 140128 146624 190864 280256 345941 381728 691882 763456 1383764 2767528 5535056 11070112 22140224