Search a number
-
+
2226042 = 234713151
BaseRepresentation
bin1000011111011101111010
311012002120000
420133131322
51032213132
6115413430
724630630
oct10373572
94162500
102226042
111290505
128b4276
135cc2b0
1441d350
152de87c
hex21f77a

2226042 has 80 divisors (see below), whose sum is σ = 6179712. Its totient is φ = 583200.

The previous prime is 2226041. The next prime is 2226089. The reversal of 2226042 is 2406222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2226041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14667 + ... + 14817.

22226042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089856).

2226042 is an abundant number, since it is smaller than the sum of its proper divisors (3953670).

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

2226042 is a wasteful number, since it uses less digits than its factorization.

2226042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

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

The square root of 2226042 is about 1491.9926273276. The cubic root of 2226042 is about 130.5703148614.

The spelling of 2226042 in words is "two million, two hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 151 162 182 189 234 273 302 351 378 453 546 567 702 819 906 1053 1057 1134 1359 1638 1963 2106 2114 2457 2718 3171 3926 4077 4914 5889 6342 7371 8154 9513 11778 12231 13741 14742 17667 19026 24462 27482 28539 35334 41223 53001 57078 82446 85617 106002 123669 159003 171234 247338 318006 371007 742014 1113021 2226042