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330190020 = 22345203821
BaseRepresentation
bin10011101011100…
…100110011000100
3212000022101120000
4103223210303010
51134012040040
652433041300
711116366056
oct2353446304
9760271500
10330190020
1115a424716
12926b6230
135353b414
1431bd18d6
151dec4130
hex13ae4cc4

330190020 has 60 divisors (see below), whose sum is σ = 1035823404. Its totient is φ = 88050240.

The previous prime is 330190013. The next prime is 330190051. The reversal of 330190020 is 20091033.

It can be written as a sum of positive squares in 2 ways, for example, as 129004164 + 201185856 = 11358^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 330189975 and 330190002.

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, 100291 + ... + 103530.

Almost surely, 2330190020 is an apocalyptic number.

330190020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330190020 is an abundant number, since it is smaller than the sum of its proper divisors (705633384).

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

330190020 is a wasteful number, since it uses less digits than its factorization.

330190020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203842 (or 203831 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 330190020 is about 18171.1315002671. The cubic root of 330190020 is about 691.1749357954.

The spelling of 330190020 in words is "three hundred thirty million, one hundred ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 203821 407642 611463 815284 1019105 1222926 1834389 2038210 2445852 3057315 3668778 4076420 5503167 6114630 7337556 9171945 11006334 12229260 16509501 18343890 22012668 27515835 33019002 36687780 55031670 66038004 82547505 110063340 165095010 330190020