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335255140 = 225111639349
BaseRepresentation
bin10011111110111…
…001011001100100
3212100211201121001
4103332321121210
51141311131030
653133403044
711210423143
oct2376713144
9770751531
10335255140
11162274170
1294339484
13545c2a2c
143274d75a
151e674cca
hex13fb9664

335255140 has 48 divisors (see below), whose sum is σ = 772833600. Its totient is φ = 121150080.

The previous prime is 335255119. The next prime is 335255149. The reversal of 335255140 is 41552533.

It is a super-2 number, since 2×3352551402 = 224792017792839200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335255099 and 335255108.

It is not an unprimeable number, because it can be changed into a prime (335255149) 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 15 ways as a sum of consecutive naturals, for example, 31186 + ... + 40534.

It is an arithmetic number, because the mean of its divisors is an integer number (16100700).

Almost surely, 2335255140 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 335255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386416800).

335255140 is an abundant number, since it is smaller than the sum of its proper divisors (437578460).

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

335255140 is a wasteful number, since it uses less digits than its factorization.

335255140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 335255140 is about 18309.9737847983. The cubic root of 335255140 is about 694.6912280215.

The spelling of 335255140 in words is "three hundred thirty-five million, two hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 8965 9349 17930 18698 35860 37396 46745 93490 102839 186980 205678 411356 514195 1028390 1523887 2056780 3047774 6095548 7619435 15238870 16762757 30477740 33525514 67051028 83813785 167627570 335255140