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22246240 = 255163853
BaseRepresentation
bin101010011011…
…1001101100000
31112212020002211
41110313031200
521143334430
62112451504
7360042562
oct124671540
945766084
1022246240
1111614a25
127549b94
1347bb973
142d51332
151e4672a
hex1537360

22246240 has 48 divisors (see below), whose sum is σ = 52941168. Its totient is φ = 8833536.

The previous prime is 22246223. The next prime is 22246247. The reversal of 22246240 is 4264222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22246247) 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, 25654 + ... + 26506.

It is an arithmetic number, because the mean of its divisors is an integer number (1102941).

Almost surely, 222246240 is an apocalyptic number.

22246240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26470584).

22246240 is an abundant number, since it is smaller than the sum of its proper divisors (30694928).

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

22246240 is a wasteful number, since it uses less digits than its factorization.

22246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 22246240 is about 4716.5919899860. The cubic root of 22246240 is about 281.2454721905.

It can be divided in two parts, 2224 and 6240, that added together give a square (8464 = 922).

The spelling of 22246240 in words is "twenty-two million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 853 1304 1630 1706 2608 3260 3412 4265 5216 6520 6824 8530 13040 13648 17060 26080 27296 34120 68240 136480 139039 278078 556156 695195 1112312 1390390 2224624 2780780 4449248 5561560 11123120 22246240