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330101226 = 2327131371471
BaseRepresentation
bin10011101011001…
…111000111101010
3212000010212202100
4103223033013222
51134001214401
652431114230
711115546150
oct2353170752
9760125670
10330101226
1115a373a34
1292672976
1353509b90
1431bab3d0
151dea7b86
hex13acf1ea

330101226 has 96 divisors (see below), whose sum is σ = 887298048. Its totient is φ = 86365440.

The previous prime is 330101207. The next prime is 330101227. The reversal of 330101226 is 622101033.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330101199 and 330101208.

It is not an unprimeable number, because it can be changed into a prime (330101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223671 + ... + 225141.

It is an arithmetic number, because the mean of its divisors is an integer number (9242688).

Almost surely, 2330101226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330101226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443649024).

330101226 is an abundant number, since it is smaller than the sum of its proper divisors (557196822).

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

330101226 is a wasteful number, since it uses less digits than its factorization.

330101226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 330101226 is about 18168.6880649099. The cubic root of 330101226 is about 691.1129738082.

Adding to 330101226 its reverse (622101033), we get a palindrome (952202259).

The spelling of 330101226 in words is "three hundred thirty million, one hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 137 182 234 273 274 411 546 819 822 959 1233 1471 1638 1781 1918 2466 2877 2942 3562 4413 5343 5754 8631 8826 10297 10686 12467 13239 16029 17262 19123 20594 24934 26478 30891 32058 37401 38246 57369 61782 74802 92673 112203 114738 133861 172107 185346 201527 224406 267722 344214 401583 403054 604581 803166 1204749 1209162 1410689 1813743 2409498 2619851 2821378 3627486 4232067 5239702 7859553 8464134 12696201 15719106 18338957 23578659 25392402 36677914 47157318 55016871 110033742 165050613 330101226