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226531242 = 2347375399
BaseRepresentation
bin11011000000010…
…01011110101010
3120210020222110000
431200021132222
5430442444432
634251203430
75420324640
oct1540113652
9523228400
10226531242
11106964303
1263a46576
1337c16472
142212b190
1514d4a57c
hexd8097aa

226531242 has 80 divisors (see below), whose sum is σ = 595900800. Its totient is φ = 62962272.

The previous prime is 226531237. The next prime is 226531271. The reversal of 226531242 is 242135622.

It is a happy number.

226531242 is a `hidden beast` number, since 2 + 2 + 653 + 1 + 2 + 4 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39259 + ... + 44657.

It is an arithmetic number, because the mean of its divisors is an integer number (7448760).

Almost surely, 2226531242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226531242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297950400).

226531242 is an abundant number, since it is smaller than the sum of its proper divisors (369369558).

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

226531242 is a wasteful number, since it uses less digits than its factorization.

226531242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5448 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 226531242 is about 15050.9548534304. The cubic root of 226531242 is about 609.5968329397.

Adding to 226531242 its reverse (242135622), we get a palindrome (468666864).

The spelling of 226531242 in words is "two hundred twenty-six million, five hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 999 1134 1554 1998 2331 2997 4662 5399 5994 6993 10798 13986 16197 20979 32394 37793 41958 48591 75586 97182 113379 145773 199763 226758 291546 340137 399526 437319 599289 680274 874638 1020411 1198578 1398341 1797867 2040822 2796682 3061233 3595734 4195023 5393601 6122466 8390046 10787202 12585069 16180803 25170138 32361606 37755207 75510414 113265621 226531242