Search a number
-
+
22249560 = 2335792347
BaseRepresentation
bin101010011100…
…0000001011000
31112212101122210
41110320001120
521143441220
62112515120
7360055344
oct124700130
945771583
1022249560
1111617473
12754baa0
1347c0328
142d52624
151e476e0
hex1538058

22249560 has 64 divisors (see below), whose sum is σ = 67622400. Its totient is φ = 5855616.

The previous prime is 22249553. The next prime is 22249571. The reversal of 22249560 is 6594222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8307 + ... + 10653.

It is an arithmetic number, because the mean of its divisors is an integer number (1056600).

Almost surely, 222249560 is an apocalyptic number.

22249560 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 22249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33811200).

22249560 is an abundant number, since it is smaller than the sum of its proper divisors (45372840).

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

22249560 is a wasteful number, since it uses less digits than its factorization.

22249560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 22249560 is about 4716.9439258910. The cubic root of 22249560 is about 281.2594623977.

The spelling of 22249560 in words is "twenty-two million, two hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2347 2370 3160 4694 4740 7041 9388 9480 11735 14082 18776 23470 28164 35205 46940 56328 70410 93880 140820 185413 281640 370826 556239 741652 927065 1112478 1483304 1854130 2224956 2781195 3708260 4449912 5562390 7416520 11124780 22249560