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330035220 = 223251833529
BaseRepresentation
bin10011101010111…
…111000000010100
3212000000112012200
4103222333000110
51133442111340
652425444500
711115152544
oct2352770024
9760015180
10330035220
1115a329389
1292640730
13534b5b18
1431b91324
151de93330
hex13abf014

330035220 has 36 divisors (see below), whose sum is σ = 1001107380. Its totient is φ = 88009344.

The previous prime is 330035213. The next prime is 330035261. The reversal of 330035220 is 22530033.

It can be written as a sum of positive squares in 2 ways, for example, as 248819076 + 81216144 = 15774^2 + 9012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 330035193 and 330035202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916585 + ... + 916944.

Almost surely, 2330035220 is an apocalyptic number.

330035220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330035220 is an abundant number, since it is smaller than the sum of its proper divisors (671072160).

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

330035220 is a wasteful number, since it uses less digits than its factorization.

330035220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833544 (or 1833539 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 330035220 is about 18166.8714973162. The cubic root of 330035220 is about 691.0669064807.

Adding to 330035220 its reverse (22530033), we get a palindrome (352565253).

The spelling of 330035220 in words is "three hundred thirty million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1833529 3667058 5500587 7334116 9167645 11001174 16501761 18335290 22002348 27502935 33003522 36670580 55005870 66007044 82508805 110011740 165017610 330035220