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22613220 = 223257131137
BaseRepresentation
bin101011001000…
…0110011100100
31120112212111200
41112100303210
521242110340
62124402500
7363131520
oct126206344
946485450
1022613220
1111845713
1276a6430
1348b9a06
143008d80
151eba330
hex1590ce4

22613220 has 144 divisors (see below), whose sum is σ = 79567488. Its totient is φ = 5091840.

The previous prime is 22613203. The next prime is 22613299. The reversal of 22613220 is 2231622.

It is a super-3 number, since 3×226132203 (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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 22613193 and 22613202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164992 + ... + 165128.

It is an arithmetic number, because the mean of its divisors is an integer number (552552).

Almost surely, 222613220 is an apocalyptic number.

22613220 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 22613220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39783744).

22613220 is an abundant number, since it is smaller than the sum of its proper divisors (56954268).

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

22613220 is a wasteful number, since it uses less digits than its factorization.

22613220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22613220 is about 4755.3359502773. The cubic root of 22613220 is about 282.7835459405.

Adding to 22613220 its reverse (2231622), we get a palindrome (24844842).

The spelling of 22613220 in words is "twenty-two million, six hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 131 137 140 180 210 252 262 274 315 393 411 420 524 548 630 655 685 786 822 917 959 1179 1233 1260 1310 1370 1572 1644 1834 1918 1965 2055 2358 2466 2620 2740 2751 2877 3668 3836 3930 4110 4585 4716 4795 4932 5502 5754 5895 6165 7860 8220 8253 8631 9170 9590 11004 11508 11790 12330 13755 14385 16506 17262 17947 18340 19180 23580 24660 27510 28770 33012 34524 35894 41265 43155 53841 55020 57540 71788 82530 86310 89735 107682 125629 161523 165060 172620 179470 215364 251258 269205 323046 358940 376887 502516 538410 628145 646092 753774 807615 1076820 1130661 1256290 1507548 1615230 1884435 2261322 2512580 3230460 3768870 4522644 5653305 7537740 11306610 22613220