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335225628 = 22341915417
BaseRepresentation
bin10011111110110…
…010001100011100
3212100210020010000
4103332302030130
51141304210003
653133014300
711210241123
oct2376621434
9770706100
10335225628
11162253a81
1294324390
13545b247a
1432742aba
151e66b1a3
hex13fb231c

335225628 has 60 divisors (see below), whose sum is σ = 881096832. Its totient is φ = 111136320.

The previous prime is 335225603. The next prime is 335225647. The reversal of 335225628 is 826522533.

335225628 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 25 + 628 = 666.

It is a super-2 number, since 2×3352256282 = 224752443335988768, which contains 22 as substring.

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 = 335225592 and 335225601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59176 + ... + 64592.

Almost surely, 2335225628 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 335225628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440548416).

335225628 is an abundant number, since it is smaller than the sum of its proper divisors (545871204).

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

335225628 is a wasteful number, since it uses less digits than its factorization.

335225628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5613 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 335225628 is about 18309.1678674920. The cubic root of 335225628 is about 694.6708432193.

The spelling of 335225628 in words is "three hundred thirty-five million, two hundred twenty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 764 1146 1719 2292 3438 5157 5417 6876 10314 10834 15471 16251 20628 21668 30942 32502 48753 61884 65004 97506 146259 195012 292518 438777 585036 877554 1034647 1755108 2069294 3103941 4138588 6207882 9311823 12415764 18623646 27935469 37247292 55870938 83806407 111741876 167612814 335225628