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3031223220 = 22325149113021
BaseRepresentation
bin1011010010101100…
…1100101110110100
321211020210002112200
42310223030232310
522201443120340
61220441344500
7135054654324
oct26453145664
97736702480
103031223220
111316056963
12707198130
13393cc720c
1420a813284
1512b1b0330
hexb4accbb4

3031223220 has 72 divisors (see below), whose sum is σ = 9256501800. Its totient is φ = 802894080.

The previous prime is 3031223213. The next prime is 3031223249. The reversal of 3031223220 is 223221303.

It is a happy number.

3031223220 is a `hidden beast` number, since 30 + 312 + 2 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168117156 + 2863106064 = 12966^2 + 53508^2 .

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 = 3031223193 and 3031223202.

It is a congruent number.

It is an unprimeable number.

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, 29691 + ... + 83330.

It is an arithmetic number, because the mean of its divisors is an integer number (128562525).

Almost surely, 23031223220 is an apocalyptic number.

3031223220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3031223220 is an abundant number, since it is smaller than the sum of its proper divisors (6225278580).

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

3031223220 is a wasteful number, since it uses less digits than its factorization.

3031223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113185 (or 113180 counting only the distinct ones).

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

The square root of 3031223220 is about 55056.5456598941. The cubic root of 3031223220 is about 1447.2358310550.

Adding to 3031223220 its reverse (223221303), we get a palindrome (3254444523).

The spelling of 3031223220 in words is "three billion, thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 113021 226042 339063 452084 565105 678126 1017189 1130210 1356252 1695315 2034378 2260420 3390630 4068756 5085945 6781260 10171890 16840129 20343780 33680258 50520387 67360516 84200645 101040774 151561161 168401290 202081548 252601935 303122322 336802580 505203870 606244644 757805805 1010407740 1515611610 3031223220