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22320420 = 2235537019
BaseRepresentation
bin101010100100…
…1010100100100
31112222222212020
41111021110210
521203223140
62114223140
7360502053
oct125112444
945888766
1022320420
1111665731
127584ab0
134816665
142d7039a
151e5d6d0
hex1549524

22320420 has 48 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 5838976.

The previous prime is 22320391. The next prime is 22320433. The reversal of 22320420 is 2402322.

It is a super-3 number, since 3×223204203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22320420.

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, 330 + ... + 6689.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 222320420 is an apocalyptic number.

22320420 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 22320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

22320420 is an abundant number, since it is smaller than the sum of its proper divisors (41365020).

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

22320420 is a wasteful number, since it uses less digits than its factorization.

22320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 22320420 is about 4724.4491742424. The cubic root of 22320420 is about 281.5577293483.

Adding to 22320420 its reverse (2402322), we get a palindrome (24722742).

The spelling of 22320420 in words is "twenty-two million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 7019 14038 21057 28076 35095 42114 70190 84228 105285 140380 210570 372007 421140 744014 1116021 1488028 1860035 2232042 3720070 4464084 5580105 7440140 11160210 22320420