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335185020 = 223353120023
BaseRepresentation
bin10011111110101…
…000010001111100
3212100201011102000
4103332220101330
51141301410040
653132102300
711210011542
oct2376502174
9770634360
10335185020
11162226515
1294304990
1354599b41
1432731d92
151e65e130
hex13fa847c

335185020 has 96 divisors (see below), whose sum is σ = 1076490240. Its totient is φ = 86495040.

The previous prime is 335185013. The next prime is 335185021. The reversal of 335185020 is 20581533.

It is a super-2 number, since 2×3351850202 = 224697995264800800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335185021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6729 + ... + 26751.

It is an arithmetic number, because the mean of its divisors is an integer number (11213440).

Almost surely, 2335185020 is an apocalyptic number.

335185020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335185020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538245120).

335185020 is an abundant number, since it is smaller than the sum of its proper divisors (741305220).

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

335185020 is a wasteful number, since it uses less digits than its factorization.

335185020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 335185020 is about 18308.0588812687. The cubic root of 335185020 is about 694.6427921294.

The spelling of 335185020 in words is "three hundred thirty-five million, one hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 20023 40046 60069 80092 100115 120138 180207 200230 240276 300345 360414 400460 540621 600690 620713 720828 901035 1081242 1201380 1241426 1802070 1862139 2162484 2482852 2703105 3103565 3604140 3724278 5406210 5586417 6207130 7448556 9310695 10812420 11172834 12414260 16759251 18621390 22345668 27932085 33518502 37242780 55864170 67037004 83796255 111728340 167592510 335185020