Search a number
-
+
227828034 = 232716311093
BaseRepresentation
bin11011001010001…
…10000101000010
3120212200212022100
431211012011002
5431310444114
634335051230
75434335450
oct1545060502
9525625270
10227828034
1110766a635
1264370b16
133827b7b5
14223879d0
1515004909
hexd946142

227828034 has 48 divisors (see below), whose sum is σ = 567657792. Its totient is φ = 64688544.

The previous prime is 227828011. The next prime is 227828053. The reversal of 227828034 is 430828722.

It is a super-2 number, since 2×2278280342 = 103811226152610312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 227828034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14992 + ... + 26084.

It is an arithmetic number, because the mean of its divisors is an integer number (11826204).

Almost surely, 2227828034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227828034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283828896).

227828034 is an abundant number, since it is smaller than the sum of its proper divisors (339829758).

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

227828034 is a wasteful number, since it uses less digits than its factorization.

227828034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 227828034 is about 15093.9734331289. The cubic root of 227828034 is about 610.7578451511.

The spelling of 227828034 in words is "two hundred twenty-seven million, eight hundred twenty-eight thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1467 2282 2934 3423 6846 10269 11093 20538 22186 33279 66558 77651 99837 155302 199674 232953 465906 698859 1397718 1808159 3616318 5424477 10848954 12657113 16273431 25314226 32546862 37971339 75942678 113914017 227828034