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22424248 = 2371159617
BaseRepresentation
bin101010110001…
…0101010111000
31120012021021201
41111202222320
521220033443
62120343544
7361413550
oct125425270
946167251
1022424248
1111726740
127614bb4
1348519b2
142d9a160
151e7e34d
hex1562ab8

22424248 has 64 divisors (see below), whose sum is σ = 53395200. Its totient is φ = 8574720.

The previous prime is 22424239. The next prime is 22424249. The reversal of 22424248 is 84242422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36036 + ... + 36652.

It is an arithmetic number, because the mean of its divisors is an integer number (834300).

Almost surely, 222424248 is an apocalyptic number.

22424248 is a gapful number since it is divisible by the number (28) 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 22424248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26697600).

22424248 is an abundant number, since it is smaller than the sum of its proper divisors (30970952).

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

22424248 is a wasteful number, since it uses less digits than its factorization.

22424248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 696 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 22424248 is about 4735.4247961508. The cubic root of 22424248 is about 281.9936286138.

The spelling of 22424248 in words is "twenty-two million, four hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 617 649 826 1234 1298 1652 2468 2596 3304 4319 4543 4936 5192 6787 8638 9086 13574 17276 18172 27148 34552 36344 36403 47509 54296 72806 95018 145612 190036 254821 291224 380072 400433 509642 800866 1019284 1601732 2038568 2803031 3203464 5606062 11212124 22424248