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22235220 = 22325722521
BaseRepresentation
bin101010011010…
…0100001010100
31112211122222200
41110310201110
521143011340
62112324500
7356665500
oct124644124
945748880
1022235220
1111607717
127543730
1347b6947
142d4b300
151e43330
hex1534854

22235220 has 108 divisors (see below), whose sum is σ = 78489684. Its totient is φ = 5080320.

The previous prime is 22235219. The next prime is 22235231. The reversal of 22235220 is 2253222.

It can be written as a sum of positive squares in 2 ways, for example, as 2414916 + 19820304 = 1554^2 + 4452^2 .

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 22235193 and 22235202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7560 + ... + 10080.

Almost surely, 222235220 is an apocalyptic number.

22235220 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 22235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39244842).

22235220 is an abundant number, since it is smaller than the sum of its proper divisors (56254464).

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

22235220 is a wasteful number, since it uses less digits than its factorization.

22235220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22235220 is about 4715.4236289012. The cubic root of 22235220 is about 281.1990248356.

Adding to 22235220 its reverse (2253222), we get a palindrome (24488442).

The spelling of 22235220 in words is "twenty-two million, two hundred thirty-five 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 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2521 2940 4410 5042 7563 8820 10084 12605 15126 17647 22689 25210 30252 35294 37815 45378 50420 52941 70588 75630 88235 90756 105882 113445 123529 151260 158823 176470 211764 226890 247058 264705 317646 352940 370587 453780 494116 529410 617645 635292 741174 794115 1058820 1111761 1235290 1482348 1588230 1852935 2223522 2470580 3176460 3705870 4447044 5558805 7411740 11117610 22235220