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3222113220 = 2232540494421
BaseRepresentation
bin1100000000001101…
…1000101111000100
322022112222022101200
43000003120233010
523044330110340
61251421022500
7142563340044
oct30003305704
98275868350
103222113220
111403887397
1275b0b4a30
133c4711a91
14227d03724
1513cd1a330
hexc00d8bc4

3222113220 has 72 divisors (see below), whose sum is σ = 9778368600. Its totient is φ = 858823680.

The previous prime is 3222113183. The next prime is 3222113221. The reversal of 3222113220 is 223112223.

3222113220 is a `hidden beast` number, since 322 + 21 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417139776 + 2804973444 = 20424^2 + 52962^2 .

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 = 3222113193 and 3222113202.

It is not an unprimeable number, because it can be changed into a prime (3222113221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726610 + ... + 731030.

It is an arithmetic number, because the mean of its divisors is an integer number (135810675).

Almost surely, 23222113220 is an apocalyptic number.

3222113220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3222113220 is an abundant number, since it is smaller than the sum of its proper divisors (6556255380).

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

3222113220 is a wasteful number, since it uses less digits than its factorization.

3222113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3222113220 is about 56763.6610870018. The cubic root of 3222113220 is about 1476.9992187433. Note that the first 3 decimals are identical.

Adding to 3222113220 its reverse (223112223), we get a palindrome (3445225443).

The spelling of 3222113220 in words is "three billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4049 4421 8098 8842 12147 13263 16196 17684 20245 22105 24294 26526 36441 39789 40490 44210 48588 53052 60735 66315 72882 79578 80980 88420 121470 132630 145764 159156 182205 198945 242940 265260 364410 397890 728820 795780 17900629 35801258 53701887 71602516 89503145 107403774 161105661 179006290 214807548 268509435 322211322 358012580 537018870 644422644 805528305 1074037740 1611056610 3222113220