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330000228 = 2232231133527
BaseRepresentation
bin10011101010110…
…110011101100100
3211222221202012200
4103222312131210
51133440001403
652425014500
711114645535
oct2352663544
9758852180
10330000228
1115a305068
1292624430
13534a2c0c
1431b8268c
151de87ca3
hex13ab6764

330000228 has 72 divisors (see below), whose sum is σ = 878387328. Its totient is φ = 104256768.

The previous prime is 330000217. The next prime is 330000233. The reversal of 330000228 is 822000033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 330000228.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91801 + ... + 95327.

It is an arithmetic number, because the mean of its divisors is an integer number (12199824).

Almost surely, 2330000228 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 330000228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

330000228 is an abundant number, since it is smaller than the sum of its proper divisors (548387100).

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

330000228 is a wasteful number, since it uses less digits than its factorization.

330000228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330000228 is about 18165.9084000773. The cubic root of 330000228 is about 691.0424821502.

The spelling of 330000228 in words is "three hundred thirty million, two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 207 226 276 339 414 452 678 828 1017 1356 2034 2599 3527 4068 5198 7054 7797 10396 10581 14108 15594 21162 23391 31188 31743 42324 46782 63486 81121 93564 126972 162242 243363 324484 398551 486726 730089 797102 973452 1195653 1460178 1594204 2391306 2920356 3586959 4782612 7173918 9166673 14347836 18333346 27500019 36666692 55000038 82500057 110000076 165000114 330000228