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22011420 = 2235715167
BaseRepresentation
bin101001111110…
…1111000011100
31112102021222210
41103331320130
521113331140
62103440420
7355044144
oct123757034
945367883
1022011420
1111474562
127456110
134738b12
142ccd924
151debd80
hex14fde1c

22011420 has 48 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 5785920.

The previous prime is 22011403. The next prime is 22011427. The reversal of 22011420 is 2411022.

It is a super-2 number, since 2×220114202 = 969005220832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22011396 and 22011405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (1302336).

Almost surely, 222011420 is an apocalyptic number.

22011420 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 22011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

22011420 is an abundant number, since it is smaller than the sum of its proper divisors (40500708).

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

22011420 is a wasteful number, since it uses less digits than its factorization.

22011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22011420 is about 4691.6329779726. The cubic root of 22011420 is about 280.2524084502.

Adding to 22011420 its reverse (2411022), we get a palindrome (24422442).

The spelling of 22011420 in words is "twenty-two million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5167 10334 15501 20668 25835 31002 51670 62004 77505 103340 155010 310020 366857 733714 1100571 1467428 1834285 2201142 3668570 4402284 5502855 7337140 11005710 22011420