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274218228 = 223217226357
BaseRepresentation
bin10000010110000…
…011110011110100
3201002222201200200
4100112003303310
51030144440403
643113240500
76536550024
oct2026036364
9632881620
10274218228
11130875239
1277a03130
1344a71b0b
14285c1a84
1519119ca3
hex10583cf4

274218228 has 54 divisors (see below), whose sum is σ = 736363446. Its totient is φ = 86025984.

The previous prime is 274218223. The next prime is 274218247. The reversal of 274218228 is 822812472.

274218228 is a `hidden beast` number, since 2 + 7 + 421 + 8 + 228 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 94711824 + 179506404 = 9732^2 + 13398^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 274218192 and 274218201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274218221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2775 + ... + 23582.

Almost surely, 2274218228 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 274218228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368181723).

274218228 is an abundant number, since it is smaller than the sum of its proper divisors (462145218).

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

274218228 is a wasteful number, since it uses less digits than its factorization.

274218228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26401 (or 26379 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 274218228 is about 16559.5358630609. The cubic root of 274218228 is about 649.6789167644.

The spelling of 274218228 in words is "two hundred seventy-four million, two hundred eighteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 26357 52714 79071 105428 158142 237213 316284 448069 474426 896138 948852 1344207 1792276 2688414 4032621 5376828 7617173 8065242 15234346 16130484 22851519 30468692 45703038 68554557 91406076 137109114 274218228