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2642220 = 223457233
BaseRepresentation
bin1010000101000100101100
311222020110000
422011010230
51134022340
6132344300
731313160
oct12050454
94866400
102642220
111545159
12a75090
13716859
144caca0
15372d30
hex28512c

2642220 has 120 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 601344.

The previous prime is 2642203. The next prime is 2642231. The reversal of 2642220 is 222462.

It is a happy number.

2642220 is a `hidden beast` number, since 2 + 642 + 2 + 20 = 666.

2642220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 2642193 and 2642202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11224 + ... + 11456.

22642220 is an apocalyptic number.

2642220 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 2642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

2642220 is an abundant number, since it is smaller than the sum of its proper divisors (6871284).

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

2642220 is a wasteful number, since it uses less digits than its factorization.

2642220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2642220 is about 1625.4906951441. The cubic root of 2642220 is about 138.2471939977.

Adding to 2642220 its reverse (222462), we get a palindrome (2864682).

The spelling of 2642220 in words is "two million, six hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 233 252 270 315 324 378 405 420 466 540 567 630 699 756 810 932 945 1134 1165 1260 1398 1620 1631 1890 2097 2268 2330 2796 2835 3262 3495 3780 4194 4660 4893 5670 6291 6524 6990 8155 8388 9786 10485 11340 12582 13980 14679 16310 18873 19572 20970 24465 25164 29358 31455 32620 37746 41940 44037 48930 58716 62910 73395 75492 88074 94365 97860 125820 132111 146790 176148 188730 220185 264222 293580 377460 440370 528444 660555 880740 1321110 2642220