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22224080 = 245833347
BaseRepresentation
bin101010011000…
…1110011010000
31112211002201002
41110301303100
521142132310
62112201132
7356621144
oct124616320
945732632
1022224080
11115aa30a
1275391a8
1347b1858
142d47224
151e3eda5
hex1531cd0

22224080 has 40 divisors (see below), whose sum is σ = 52309152. Its totient is φ = 8779904.

The previous prime is 22224079. The next prime is 22224089. The reversal of 22224080 is 8042222.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4967 + ... + 8313.

Almost surely, 222224080 is an apocalyptic number.

22224080 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 22224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26154576).

22224080 is an abundant number, since it is smaller than the sum of its proper divisors (30085072).

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

22224080 is a wasteful number, since it uses less digits than its factorization.

22224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 22224080 is about 4714.2422508819. The cubic root of 22224080 is about 281.1520561013.

The spelling of 22224080 in words is "twenty-two million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 3347 6640 6694 13388 16735 26776 33470 53552 66940 133880 267760 277801 555602 1111204 1389005 2222408 2778010 4444816 5556020 11112040 22224080