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226273284 = 223310320341
BaseRepresentation
bin11010111110010…
…10100000000100
3120202202212121000
431133022200010
5430411221114
634241453300
75415201606
oct1537124004
9522685530
10226273284
111067a8516
1263941230
1337b55c23
14220a1176
1514ce8e09
hexd7ca804

226273284 has 48 divisors (see below), whose sum is σ = 592359040. Its totient is φ = 74688480.

The previous prime is 226273279. The next prime is 226273291. The reversal of 226273284 is 482372622.

It is a happy number.

226273284 is a `hidden beast` number, since 2 + 2 + 627 + 3 + 28 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 954 + ... + 21294.

Almost surely, 2226273284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226273284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296179520).

226273284 is an abundant number, since it is smaller than the sum of its proper divisors (366085756).

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

226273284 is a wasteful number, since it uses less digits than its factorization.

226273284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20457 (or 20449 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 226273284 is about 15042.3829229281. The cubic root of 226273284 is about 609.3653562497.

The spelling of 226273284 in words is "two hundred twenty-six million, two hundred seventy-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 20341 40682 61023 81364 122046 183069 244092 366138 549207 732276 1098414 2095123 2196828 4190246 6285369 8380492 12570738 18856107 25141476 37712214 56568321 75424428 113136642 226273284