Search a number
-
+
3321302220 = 2232519971141
BaseRepresentation
bin1100010111110111…
…0000110011001100
322120110121122010100
43011331300303030
523300223132340
61305323011100
7145206413565
oct30575606314
98513548110
103321302220
111454874575
12788369a90
1340c1303b2
1423716316c
151468ae830
hexc5f70ccc

3321302220 has 72 divisors (see below), whose sum is σ = 10604870640. Its totient is φ = 839064960.

The previous prime is 3321302209. The next prime is 3321302221. The reversal of 3321302220 is 222031233.

It is a happy number.

It is a super-2 number, since 2×33213022202 = 22062096873153856800, which contains 22 as substring.

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 = 3321302193 and 3321302202.

It is not an unprimeable number, because it can be changed into a prime (3321302221) 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 23 ways as a sum of consecutive naturals, for example, 482151 + ... + 488990.

It is an arithmetic number, because the mean of its divisors is an integer number (147289870).

Almost surely, 23321302220 is an apocalyptic number.

3321302220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3321302220 is an abundant number, since it is smaller than the sum of its proper divisors (7283568420).

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

3321302220 is a wasteful number, since it uses less digits than its factorization.

3321302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971175 (or 971170 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3321302220 is about 57630.7402347046. The cubic root of 3321302220 is about 1492.0022059830.

Adding to 3321302220 its reverse (222031233), we get a palindrome (3543333453).

The spelling of 3321302220 in words is "three billion, three hundred twenty-one million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 971141 1942282 2913423 3884564 4855705 5826846 8740269 9711410 11653692 14567115 17480538 18451679 19422820 29134230 34961076 36903358 43701345 55355037 58268460 73806716 87402690 92258395 110710074 166065111 174805380 184516790 221420148 276775185 332130222 369033580 553550370 664260444 830325555 1107100740 1660651110 3321302220