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22152224 = 251743947
BaseRepresentation
bin101010010000…
…0010000100000
31112200110010202
41110200100200
521132332344
62110444332
7356201513
oct124402040
945613122
1022152224
1111560326
1275036a8
134787c33
142d28d7a
151e2894e
hex1520420

22152224 has 48 divisors (see below), whose sum is σ = 47301408. Its totient is φ = 10171392.

The previous prime is 22152223. The next prime is 22152239. The reversal of 22152224 is 42225122.

It is a junction number, because it is equal to n+sod(n) for n = 22152196 and 22152205.

It is not an unprimeable number, because it can be changed into a prime (22152223) 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, 22919 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (985446).

Almost surely, 222152224 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 22152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650704).

22152224 is an abundant number, since it is smaller than the sum of its proper divisors (25149184).

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

22152224 is a wasteful number, since it uses less digits than its factorization.

22152224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 22152224 is about 4706.6149194511. The cubic root of 22152224 is about 280.8487173423.

Adding to 22152224 its reverse (42225122), we get a palindrome (64377346).

The spelling of 22152224 in words is "twenty-two million, one hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 947 1376 1462 1894 2924 3788 5848 7576 11696 15152 16099 23392 30304 32198 40721 64396 81442 128792 162884 257584 325768 515168 651536 692257 1303072 1384514 2769028 5538056 11076112 22152224