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22241024 = 281341163
BaseRepresentation
bin101010011010…
…1111100000000
31112211221221122
41110311330000
521143203044
62112411412
7360021431
oct124657400
945757848
1022241024
1111611013
127546b68
1347b9490
142d4d488
151e44dee
hex1535f00

22241024 has 72 divisors (see below), whose sum is σ = 49276752. Its totient is φ = 9953280.

The previous prime is 22241017. The next prime is 22241029. The reversal of 22241024 is 42014222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22240993 and 22241011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136367 + ... + 136529.

Almost surely, 222241024 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 22241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24638376).

22241024 is an abundant number, since it is smaller than the sum of its proper divisors (27035728).

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

22241024 is a wasteful number, since it uses less digits than its factorization.

22241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

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

The square root of 22241024 is about 4716.0390159540. The cubic root of 22241024 is about 281.2234895835.

Adding to 22241024 its reverse (42014222), we get a palindrome (64255246).

The spelling of 22241024 in words is "twenty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 163 164 208 256 326 328 416 533 652 656 832 1066 1304 1312 1664 2119 2132 2608 2624 3328 4238 4264 5216 5248 6683 8476 8528 10432 10496 13366 16952 17056 20864 26732 33904 34112 41728 53464 67808 68224 86879 106928 135616 136448 173758 213856 271232 347516 427712 542464 695032 855424 1390064 1710848 2780128 5560256 11120512 22241024