Search a number
-
+
2534220 = 2233513192
BaseRepresentation
bin1001101010101101001100
311202202022000
421222231030
51122043340
6130152300
730353253
oct11525514
94682260
102534220
111480aa7
12a22690
136a9650
1449d79a
15350d30
hex26ab4c

2534220 has 144 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 590976.

The previous prime is 2534197. The next prime is 2534237. The reversal of 2534220 is 224352.

2534220 is digitally balanced in base 2 and base 5, because in such bases 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 = 2534193 and 2534202.

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, 133371 + ... + 133389.

It is an arithmetic number, because the mean of its divisors is an integer number (62230).

22534220 is an apocalyptic number.

2534220 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 2534220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

2534220 is an abundant number, since it is smaller than the sum of its proper divisors (6426900).

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

2534220 is a wasteful number, since it uses less digits than its factorization.

2534220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

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

The square root of 2534220 is about 1591.9233649897. The cubic root of 2534220 is about 136.3373258330.

Adding to 2534220 its reverse (224352), we get a palindrome (2758572).

The spelling of 2534220 in words is "two million, five hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 27 30 36 38 39 45 52 54 57 60 65 76 78 90 95 108 114 117 130 135 156 171 180 190 195 228 234 247 260 270 285 342 351 361 380 390 468 494 513 540 570 585 684 702 722 741 780 855 988 1026 1083 1140 1170 1235 1404 1444 1482 1710 1755 1805 2052 2166 2223 2340 2470 2565 2964 3249 3420 3510 3610 3705 4332 4446 4693 4940 5130 5415 6498 6669 7020 7220 7410 8892 9386 9747 10260 10830 11115 12996 13338 14079 14820 16245 18772 19494 21660 22230 23465 26676 28158 32490 33345 38988 42237 44460 46930 48735 56316 64980 66690 70395 84474 93860 97470 126711 133380 140790 168948 194940 211185 253422 281580 422370 506844 633555 844740 1267110 2534220