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22320240 = 243593001
BaseRepresentation
bin101010100100…
…1010001110000
31112222222121120
41111021101300
521203221430
62114222240
7360501405
oct125112160
945888546
1022320240
1111665588
127584980
134816557
142d702ac
151e5d610
hex1549470

22320240 has 40 divisors (see below), whose sum is σ = 69193488. Its totient is φ = 5952000.

The previous prime is 22320223. The next prime is 22320241. The reversal of 22320240 is 4202322.

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

It is a super-3 number, since 3×223202403 (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 zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46261 + ... + 46740.

Almost surely, 222320240 is an apocalyptic number.

22320240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320240 is an abundant number, since it is smaller than the sum of its proper divisors (46873248).

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

22320240 is a wasteful number, since it uses less digits than its factorization.

22320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93017 (or 93011 counting only the distinct ones).

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

The square root of 22320240 is about 4724.4301243642. The cubic root of 22320240 is about 281.5569724849.

Adding to 22320240 its reverse (4202322), we get a palindrome (26522562).

The spelling of 22320240 in words is "twenty-two million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 93001 186002 279003 372004 465005 558006 744008 930010 1116012 1395015 1488016 1860020 2232024 2790030 3720040 4464048 5580060 7440080 11160120 22320240