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22469840 = 2451571789
BaseRepresentation
bin101010110110…
…1110011010000
31120021120211022
41111231303100
521223013330
62121335012
7361663511
oct125556320
946246738
1022469840
1111757a18
127637468
134869683
142daca08
151e8cae5
hex156dcd0

22469840 has 40 divisors (see below), whose sum is σ = 52604520. Its totient is φ = 8925696.

The previous prime is 22469831. The next prime is 22469849. The reversal of 22469840 is 4896422.

It is an interprime number because it is at equal distance from previous prime (22469831) and next prime (22469849).

It can be written as a sum of positive squares in 4 ways, for example, as 4963984 + 17505856 = 2228^2 + 4184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 22469840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22469849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11666 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (1315113).

Almost surely, 222469840 is an apocalyptic number.

22469840 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 22469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26302260).

22469840 is an abundant number, since it is smaller than the sum of its proper divisors (30134680).

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

22469840 is a wasteful number, since it uses less digits than its factorization.

22469840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 22469840 is about 4740.2362810307. The cubic root of 22469840 is about 282.1846116091.

The spelling of 22469840 in words is "twenty-two million, four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 1789 2512 3140 3578 6280 7156 8945 12560 14312 17890 28624 35780 71560 143120 280873 561746 1123492 1404365 2246984 2808730 4493968 5617460 11234920 22469840