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226413144 = 2334349403
BaseRepresentation
bin11010111111011…
…00101001011000
3120210000222110000
431133230221120
5430430210034
634244453000
75416323426
oct1537545130
9523028400
10226413144
11106893601
12639aa160
1337ba4799
14220da116
1514d25599
hexd7eca58

226413144 has 40 divisors (see below), whose sum is σ = 634168260. Its totient is φ = 75470832.

The previous prime is 226413137. The next prime is 226413163. The reversal of 226413144 is 441314622.

It is a happy number.

226413144 is a `hidden beast` number, since 2 + 2 + 641 + 3 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 174054 + ... + 175349.

Almost surely, 2226413144 is an apocalyptic number.

226413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226413144 is an abundant number, since it is smaller than the sum of its proper divisors (407755116).

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

226413144 is a wasteful number, since it uses less digits than its factorization.

226413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349421 (or 349408 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 226413144 is about 15047.0310692841. The cubic root of 226413144 is about 609.4908804003.

Adding to 226413144 its reverse (441314622), we get a palindrome (667727766).

The spelling of 226413144 in words is "two hundred twenty-six million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 349403 698806 1048209 1397612 2096418 2795224 3144627 4192836 6289254 8385672 9433881 12578508 18867762 25157016 28301643 37735524 56603286 75471048 113206572 226413144