Search a number
-
+
2390220 = 2232572271
BaseRepresentation
bin1001000111100011001100
311111102202200
421013203030
51102441340
6123121500
726213400
oct11074314
94442680
102390220
111392898
12973290
13658c41
14463100
15323330
hex2478cc

2390220 has 108 divisors (see below), whose sum is σ = 8465184. Its totient is φ = 544320.

The previous prime is 2390207. The next prime is 2390221. The reversal of 2390220 is 220932.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2390193 and 2390202.

It is not an unprimeable number, because it can be changed into a prime (2390221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8685 + ... + 8955.

22390220 is an apocalyptic number.

2390220 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 2390220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232592).

2390220 is an abundant number, since it is smaller than the sum of its proper divisors (6074964).

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

2390220 is a wasteful number, since it uses less digits than its factorization.

2390220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2390220 is about 1546.0336348217. The cubic root of 2390220 is about 133.7044798075.

The spelling of 2390220 in words is "two million, three hundred ninety 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 98 105 126 140 147 180 196 210 245 252 271 294 315 420 441 490 542 588 630 735 813 882 980 1084 1260 1355 1470 1626 1764 1897 2205 2439 2710 2940 3252 3794 4065 4410 4878 5420 5691 7588 8130 8820 9485 9756 11382 12195 13279 16260 17073 18970 22764 24390 26558 28455 34146 37940 39837 48780 53116 56910 66395 68292 79674 85365 113820 119511 132790 159348 170730 199185 239022 265580 341460 398370 478044 597555 796740 1195110 2390220