Search a number
-
+
22287072 = 253435399
BaseRepresentation
bin101010100000…
…1001011100000
31112221022010010
41111001023200
521201141242
62113404520
7360302613
oct125011340
945838103
1022287072
1111642675
127569740
134804422
142d6217a
151e5389c
hex15412e0

22287072 has 48 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 7254912.

The previous prime is 22287059. The next prime is 22287101. The reversal of 22287072 is 27078222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 6827.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 222287072 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 22287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

22287072 is an abundant number, since it is smaller than the sum of its proper divisors (37588128).

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

22287072 is a wasteful number, since it uses less digits than its factorization.

22287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 22287072 is about 4720.9185546883. The cubic root of 22287072 is about 281.4174382735.

The spelling of 22287072 in words is "twenty-two million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 5399 10798 16197 21596 32394 43192 64788 86384 129576 172768 232157 259152 464314 518304 696471 928628 1392942 1857256 2785884 3714512 5571768 7429024 11143536 22287072