Search a number
-
+
22213728 = 2532137563
BaseRepresentation
bin101010010111…
…1010001100000
31112210120111200
41110233101200
521141314403
62112041200
7356546025
oct124572140
945716450
1022213728
11115a2559
127533200
1347a9c24
142d4354c
151e3bca3
hex152f460

22213728 has 72 divisors (see below), whose sum is σ = 63744408. Its totient is φ = 7337472.

The previous prime is 22213703. The next prime is 22213733. The reversal of 22213728 is 82731222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39175 + ... + 39737.

It is an arithmetic number, because the mean of its divisors is an integer number (885339).

Almost surely, 222213728 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 22213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872204).

22213728 is an abundant number, since it is smaller than the sum of its proper divisors (41530680).

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

22213728 is a wasteful number, since it uses less digits than its factorization.

22213728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 22213728 is about 4713.1441734791. The cubic root of 22213728 is about 281.1083956797.

The spelling of 22213728 in words is "twenty-two million, two hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 563 822 1096 1126 1233 1644 1689 2192 2252 2466 3288 3378 4384 4504 4932 5067 6576 6756 9008 9864 10134 13152 13512 18016 19728 20268 27024 39456 40536 54048 77131 81072 154262 162144 231393 308524 462786 617048 694179 925572 1234096 1388358 1851144 2468192 2776716 3702288 5553432 7404576 11106864 22213728