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228216366 = 236759379
BaseRepresentation
bin11011001101001…
…00111000101110
3120220102121000000
431212210320232
5431410410431
634351245130
75440543560
oct1546447056
9526377000
10228216366
11107905374
12645197a6
1338386491
1422449330
151507e9e6
hexd9a4e2e

228216366 has 112 divisors (see below), whose sum is σ = 598089600. Its totient is φ = 63930384.

The previous prime is 228216337. The next prime is 228216367. The reversal of 228216366 is 663612822.

228216366 is a `hidden beast` number, since 2 + 282 + 16 + 366 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228216366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228216367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 601965 + ... + 602343.

Almost surely, 2228216366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228216366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299044800).

228216366 is an abundant number, since it is smaller than the sum of its proper divisors (369873234).

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

228216366 is an equidigital number, since it uses as much as digits as its factorization.

228216366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 228216366 is about 15106.8317657939. The cubic root of 228216366 is about 611.1046596368.

The spelling of 228216366 in words is "two hundred twenty-eight million, two hundred sixteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 177 189 243 354 378 379 413 486 531 567 729 758 826 1062 1134 1137 1239 1458 1593 1701 2274 2478 2653 3186 3402 3411 3717 4779 5103 5306 6822 7434 7959 9558 10206 10233 11151 14337 15918 20466 22302 22361 23877 28674 30699 33453 43011 44722 47754 61398 66906 67083 71631 86022 92097 100359 134166 143262 156527 184194 200718 201249 214893 276291 301077 313054 402498 429786 469581 552582 602154 603747 644679 939162 1207494 1289358 1408743 1811241 1934037 2817486 3622482 3868074 4226229 5433723 8452458 10867446 12678687 16301169 25357374 32602338 38036061 76072122 114108183 228216366