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22249552 = 2413412609
BaseRepresentation
bin101010011100…
…0000001010000
31112212101122111
41110320001100
521143441202
62112515104
7360055333
oct124700120
945771574
1022249552
1111617466
12754ba94
1347c0320
142d5261a
151e476d7
hex1538050

22249552 has 40 divisors (see below), whose sum is σ = 47575080. Its totient is φ = 10014720.

The previous prime is 22249547. The next prime is 22249553. The reversal of 22249552 is 25594222.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 22052416 = 444^2 + 4696^2 .

Together with 25325528 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22249553) 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, 7224 + ... + 9832.

It is an arithmetic number, because the mean of its divisors is an integer number (1189377).

Almost surely, 222249552 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 22249552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787540).

22249552 is an abundant number, since it is smaller than the sum of its proper divisors (25325528).

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

22249552 is a wasteful number, since it uses less digits than its factorization.

22249552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2665 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 22249552 is about 4716.9430778842. The cubic root of 22249552 is about 281.2594286880.

It can be divided in two parts, 22249 and 552, that added together give a square (22801 = 1512).

The spelling of 22249552 in words is "twenty-two million, two hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 2609 4264 5218 8528 10436 20872 33917 41744 67834 106969 135668 213938 271336 427876 542672 855752 1390597 1711504 2781194 5562388 11124776 22249552