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22550220 = 223257111627
BaseRepresentation
bin101011000000…
…1011011001100
31120102200002100
41112001123030
521233101340
62123155100
7362450040
oct126013314
946380070
1022550220
1111802350
127675a90
134897134
142dd0020
151ea6830
hex15816cc

22550220 has 144 divisors (see below), whose sum is σ = 85333248. Its totient is φ = 4682880.

The previous prime is 22550219. The next prime is 22550243. The reversal of 22550220 is 2205522.

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 = 22550193 and 22550202.

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, 13047 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (592592).

Almost surely, 222550220 is an apocalyptic number.

22550220 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 22550220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42666624).

22550220 is an abundant number, since it is smaller than the sum of its proper divisors (62783028).

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

22550220 is a wasteful number, since it uses less digits than its factorization.

22550220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22550220 is about 4748.7071924893. The cubic root of 22550220 is about 282.5206918302.

Adding to 22550220 its reverse (2205522), we get a palindrome (24755742).

It can be divided in two parts, 225502 and 20, that added together give a palindrome (225522).

The spelling of 22550220 in words is "twenty-two million, five hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1627 1980 2310 2772 3254 3465 4620 4881 6508 6930 8135 9762 11389 13860 14643 16270 17897 19524 22778 24405 29286 32540 34167 35794 45556 48810 53691 56945 58572 68334 71588 73215 89485 97620 102501 107382 113890 125279 136668 146430 161073 170835 178970 205002 214764 227780 250558 268455 292860 322146 341670 357940 375837 410004 501116 512505 536910 626395 644292 683340 751674 805365 1025010 1073820 1127511 1252790 1503348 1610730 1879185 2050020 2255022 2505580 3221460 3758370 4510044 5637555 7516740 11275110 22550220