Search a number
-
+
2240946 = 2362953
BaseRepresentation
bin1000100011000110110010
311012212000000
420203012302
51033202241
6120010430
725022241
oct10430662
94185000
102240946
1112a0724
12900a16
13606006
14424958
152e3eb6
hex2231b2

2240946 has 56 divisors (see below), whose sum is σ = 5311980. Its totient is φ = 707616.

The previous prime is 2240941. The next prime is 2240951. The reversal of 2240946 is 6490422.

It is an interprime number because it is at equal distance from previous prime (2240941) and next prime (2240951).

It can be written as a sum of positive squares in 2 ways, for example, as 2205225 + 35721 = 1485^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2240941) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42256 + ... + 42308.

22240946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655990).

2240946 is an abundant number, since it is smaller than the sum of its proper divisors (3071034).

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

2240946 is an equidigital number, since it uses as much as digits as its factorization.

2240946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2240946 is about 1496.9789577679. The cubic root of 2240946 is about 130.8610690338.

The spelling of 2240946 in words is "two million, two hundred forty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 81 87 106 159 162 174 243 261 318 477 486 522 729 783 954 1431 1458 1537 1566 2349 2862 3074 4293 4611 4698 7047 8586 9222 12879 13833 14094 21141 25758 27666 38637 41499 42282 77274 82998 124497 248994 373491 746982 1120473 2240946