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330220020 = 2235131812339
BaseRepresentation
bin10011101011101…
…100000111110100
3212000100220201010
4103223230013310
51134014020040
652433432220
711116552404
oct2353540764
9760326633
10330220020
1115a445209
129270b670
135354bc80
1431bdc804
151decce80
hex13aec1f4

330220020 has 96 divisors (see below), whose sum is σ = 1001669760. Its totient is φ = 80801280.

The previous prime is 330220001. The next prime is 330220049. The reversal of 330220020 is 20022033.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 330219978 and 330220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140011 + ... + 142349.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2330220020 is an apocalyptic number.

330220020 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 330220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500834880).

330220020 is an abundant number, since it is smaller than the sum of its proper divisors (671449740).

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

330220020 is a wasteful number, since it uses less digits than its factorization.

330220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 330220020 is about 18171.9569667111. The cubic root of 330220020 is about 691.1958678031.

Adding to 330220020 its reverse (20022033), we get a palindrome (350242053).

The spelling of 330220020 in words is "three hundred thirty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 780 905 1086 1810 2172 2339 2353 2715 3620 4678 4706 5430 7017 7059 9356 9412 10860 11695 11765 14034 14118 23390 23530 28068 28236 30407 35085 35295 46780 47060 60814 70170 70590 91221 121628 140340 141180 152035 182442 304070 364884 423359 456105 608140 846718 912210 1270077 1693436 1824420 2116795 2540154 4233590 5080308 5503667 6350385 8467180 11007334 12700770 16511001 22014668 25401540 27518335 33022002 55036670 66044004 82555005 110073340 165110010 330220020