Search a number
-
+
2622114 = 23211171941
BaseRepresentation
bin1010000000001010100010
311221012212100
422000022202
51132401424
6132111230
731200435
oct12001242
94835770
102622114
111531040
12a65516
1370a661
144c381c
1536bdc9
hex2802a2

2622114 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 691200.

The previous prime is 2622091. The next prime is 2622119. The reversal of 2622114 is 4112262.

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

It is an Ulam number.

Its product of digits (192) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (2622119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63934 + ... + 63974.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22622114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2622114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2622114 is an abundant number, since it is smaller than the sum of its proper divisors (4454046).

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

2622114 is a wasteful number, since it uses less digits than its factorization.

2622114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 93 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2622114 is about 1619.2942907328. The cubic root of 2622114 is about 137.8956362798.

Adding to 2622114 its reverse (4112262), we get a palindrome (6734376).

The spelling of 2622114 in words is "two million, six hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 41 51 57 66 82 99 102 114 123 153 171 187 198 209 246 306 323 342 369 374 418 451 561 627 646 697 738 779 902 969 1122 1254 1353 1394 1558 1683 1881 1938 2091 2337 2706 2907 3366 3553 3762 4059 4182 4674 5814 6273 7011 7106 7667 8118 8569 10659 12546 13243 14022 15334 17138 21318 23001 25707 26486 31977 39729 46002 51414 63954 69003 77121 79458 119187 138006 145673 154242 238374 291346 437019 874038 1311057 2622114