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22160380 = 22511263383
BaseRepresentation
bin101010010001…
…0001111111100
31112200212022211
41110202033330
521133113010
62110550204
7356234344
oct124421774
945625284
1022160380
1111566470
127508364
13478b868
142d2bd24
151e2b08a
hex15223fc

22160380 has 48 divisors (see below), whose sum is σ = 51093504. Its totient is φ = 8006720.

The previous prime is 22160371. The next prime is 22160389. The reversal of 22160380 is 8306122.

It is an interprime number because it is at equal distance from previous prime (22160371) and next prime (22160389).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22160389) 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 15 ways as a sum of consecutive naturals, for example, 57669 + ... + 58051.

It is an arithmetic number, because the mean of its divisors is an integer number (1064448).

Almost surely, 222160380 is an apocalyptic number.

22160380 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 22160380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546752).

22160380 is an abundant number, since it is smaller than the sum of its proper divisors (28933124).

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

22160380 is a wasteful number, since it uses less digits than its factorization.

22160380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22160380 is about 4707.4812798353. The cubic root of 22160380 is about 280.8831807153.

The spelling of 22160380 in words is "twenty-two million, one hundred sixty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 383 526 766 1052 1315 1532 1915 2630 2893 3830 4213 5260 5786 7660 8426 11572 14465 16852 21065 28930 42130 57860 84260 100729 201458 402916 503645 1007290 1108019 2014580 2216038 4432076 5540095 11080190 22160380