Search a number
-
+
2255220 = 22325111767
BaseRepresentation
bin1000100110100101110100
311020120120200
420212211310
51034131340
6120200500
725111662
oct10464564
94216520
102255220
111300420
12909130
1360c666
14429c32
152e8330
hex226974

2255220 has 144 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 506880.

The previous prime is 2255191. The next prime is 2255233. The reversal of 2255220 is 225522.

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 = 2255193 and 2255202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33627 + ... + 33693.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

22255220 is an apocalyptic number.

2255220 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 2255220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2255220 is an abundant number, since it is smaller than the sum of its proper divisors (5764428).

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

2255220 is a wasteful number, since it uses less digits than its factorization.

2255220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

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

The square root of 2255220 is about 1501.7389919690. The cubic root of 2255220 is about 131.1383267792.

It can be divided in two parts, 225 and 5220, that added together give a palindrome (5445).

The spelling of 2255220 in words is "two million, two hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 67 68 85 90 99 102 110 132 134 153 165 170 180 187 198 201 204 220 255 268 306 330 335 340 374 396 402 495 510 561 603 612 660 670 737 748 765 804 935 990 1005 1020 1122 1139 1206 1340 1474 1530 1683 1870 1980 2010 2211 2244 2278 2412 2805 2948 3015 3060 3366 3417 3685 3740 4020 4422 4556 5610 5695 6030 6633 6732 6834 7370 8415 8844 10251 11055 11220 11390 12060 12529 13266 13668 14740 16830 17085 20502 22110 22780 25058 26532 33165 33660 34170 37587 41004 44220 50116 51255 62645 66330 68340 75174 102510 112761 125290 132660 150348 187935 205020 225522 250580 375870 451044 563805 751740 1127610 2255220