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353042226 = 23423412311
BaseRepresentation
bin10101000010101…
…111111100110010
3220121022101220000
4111002233330302
51210334322401
655010530430
711514544425
oct2502577462
9817271800
10353042226
11171312939
129a296a16
13581acb34
1434c5d9bc
1520eda186
hex150aff32

353042226 has 80 divisors (see below), whose sum is σ = 845970048. Its totient is φ = 109771200.

The previous prime is 353042219. The next prime is 353042233. The reversal of 353042226 is 622240353.

It is an interprime number because it is at equal distance from previous prime (353042219) and next prime (353042233).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 353042226.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151611 + ... + 153921.

Almost surely, 2353042226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353042226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422985024).

353042226 is an abundant number, since it is smaller than the sum of its proper divisors (492927822).

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

353042226 is a wasteful number, since it uses less digits than its factorization.

353042226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 353042226 is about 18789.4179260561. The cubic root of 353042226 is about 706.7658404284.

Adding to 353042226 its reverse (622240353), we get a palindrome (975282579).

The spelling of 353042226 in words is "three hundred fifty-three million, forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 246 369 414 621 738 943 1107 1242 1863 1886 2214 2311 2829 3321 3726 4622 5658 6642 6933 8487 13866 16974 20799 25461 41598 50922 53153 62397 76383 94751 106306 124794 152766 159459 187191 189502 284253 318918 374382 478377 568506 852759 956754 1435131 1705518 2179273 2558277 2870262 4305393 4358546 5116554 6537819 7674831 8610786 13075638 15349662 19613457 39226914 58840371 117680742 176521113 353042226