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22013320 = 2357292711
BaseRepresentation
bin101001111111…
…0010110001000
31112102101121011
41103332112020
521113411240
62103453304
7355052530
oct123762610
945371534
1022013320
1111475a2a
127457234
134739944
142cd04c0
151dec6ea
hex14fe588

22013320 has 64 divisors (see below), whose sum is σ = 58579200. Its totient is φ = 7284480.

The previous prime is 22013281. The next prime is 22013339. The reversal of 22013320 is 2331022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22013320.

It is an unprimeable number.

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, 6765 + ... + 9475.

It is an arithmetic number, because the mean of its divisors is an integer number (915300).

Almost surely, 222013320 is an apocalyptic number.

22013320 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 22013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289600).

22013320 is an abundant number, since it is smaller than the sum of its proper divisors (36565880).

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

22013320 is a wasteful number, since it uses less digits than its factorization.

22013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22013320 is about 4691.8354617356. The cubic root of 22013320 is about 280.2604719048.

Adding to 22013320 its reverse (2331022), we get a palindrome (24344342).

The spelling of 22013320 in words is "twenty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 2711 4060 5422 8120 10844 13555 18977 21688 27110 37954 54220 75908 78619 94885 108440 151816 157238 189770 314476 379540 393095 550333 628952 759080 786190 1100666 1572380 2201332 2751665 3144760 4402664 5503330 11006660 22013320