Search a number
-
+
2981022 = 231131247
BaseRepresentation
bin1011010111110010011110
312121110012020
423113302132
51230343042
6143521010
734224012
oct13276236
95543166
102981022
111756760
12bb9166
13804b25
14578542
153dd3ec
hex2d7c9e

2981022 has 48 divisors (see below), whose sum is σ = 6863616. Its totient is φ = 855600.

The previous prime is 2981021. The next prime is 2981023. The reversal of 2981022 is 2201892.

It is an interprime number because it is at equal distance from previous prime (2981021) and next prime (2981023).

It is a junction number, because it is equal to n+sod(n) for n = 2980983 and 2981001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63403 + ... + 63449.

It is an arithmetic number, because the mean of its divisors is an integer number (142992).

22981022 is an apocalyptic number.

2981022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431808).

2981022 is an abundant number, since it is smaller than the sum of its proper divisors (3882594).

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

2981022 is a wasteful number, since it uses less digits than its factorization.

2981022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2981022 is about 1726.5636391399. The cubic root of 2981022 is about 143.9201911153.

The spelling of 2981022 in words is "two million, nine hundred eighty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 961 1023 1034 1457 1551 1922 2046 2883 2914 3102 4371 5766 8742 10571 16027 21142 31713 32054 45167 48081 63426 90334 96162 135501 271002 496837 993674 1490511 2981022