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226341264 = 243171032693
BaseRepresentation
bin11010111110110…
…11000110010000
3120202220022211210
431133123012100
5430420410024
634243140120
75415604032
oct1537330620
9522808753
10226341264
111068445a6
1263974640
1337b7ab56
14220bbc52
1514d0e129
hexd7db190

226341264 has 80 divisors (see below), whose sum is σ = 625352832. Its totient is φ = 70293504.

The previous prime is 226341257. The next prime is 226341277. The reversal of 226341264 is 462143622.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82702 + ... + 85394.

Almost surely, 2226341264 is an apocalyptic number.

226341264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226341264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312676416).

226341264 is an abundant number, since it is smaller than the sum of its proper divisors (399011568).

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

226341264 is a wasteful number, since it uses less digits than its factorization.

226341264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2818 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 226341264 is about 15044.6423686308. The cubic root of 226341264 is about 609.4263746614.

Adding to 226341264 its reverse (462143622), we get a palindrome (688484886).

The spelling of 226341264 in words is "two hundred twenty-six million, three hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 204 206 272 309 408 412 618 816 824 1236 1648 1751 2472 2693 3502 4944 5253 5386 7004 8079 10506 10772 14008 16158 21012 21544 28016 32316 42024 43088 45781 64632 84048 91562 129264 137343 183124 274686 277379 366248 549372 554758 732496 832137 1098744 1109516 1664274 2197488 2219032 3328548 4438064 4715443 6657096 9430886 13314192 14146329 18861772 28292658 37723544 56585316 75447088 113170632 226341264