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22013280 = 2532515287
BaseRepresentation
bin101001111111…
…0010101100000
31112102101112200
41103332111200
521113411110
62103453200
7355052442
oct123762540
945371480
1022013280
11114759a3
127457200
134739913
142cd0492
151dec6c0
hex14fe560

22013280 has 72 divisors (see below), whose sum is σ = 75125232. Its totient is φ = 5869824.

The previous prime is 22013273. The next prime is 22013281. The reversal of 22013280 is 8231022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013281) 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 11 ways as a sum of consecutive naturals, for example, 6204 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 222013280 is an apocalyptic number.

22013280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013280 is an abundant number, since it is smaller than the sum of its proper divisors (53111952).

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

22013280 is a wasteful number, since it uses less digits than its factorization.

22013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22013280 is about 4691.8311990096. The cubic root of 22013280 is about 280.2603021527.

The spelling of 22013280 in words is "twenty-two million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15287 30574 45861 61148 76435 91722 122296 137583 152870 183444 229305 244592 275166 305740 366888 458610 489184 550332 611480 687915 733776 917220 1100664 1222960 1375830 1467552 1834440 2201328 2445920 2751660 3668880 4402656 5503320 7337760 11006640 22013280