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1222003020 = 223574216911
BaseRepresentation
bin100100011010110…
…0100100101001100
310011011102012000010
41020311210211030
510000313044040
6321131433220
742165566010
oct11065444514
93134365003
101222003020
11577874a57
122a12b5810
13166229514
14b841a540
1572434e80
hex48d6494c

1222003020 has 96 divisors (see below), whose sum is σ = 3920265216. Its totient is φ = 278611200.

The previous prime is 1222003009. The next prime is 1222003039. The reversal of 1222003020 is 203002221.

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 = 1222002987 and 1222003005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173365 + ... + 180275.

It is an arithmetic number, because the mean of its divisors is an integer number (40836096).

Almost surely, 21222003020 is an apocalyptic number.

1222003020 is a gapful number since it is divisible by the number (10) 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 1222003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960132608).

1222003020 is an abundant number, since it is smaller than the sum of its proper divisors (2698262196).

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

1222003020 is a wasteful number, since it uses less digits than its factorization.

1222003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1222003020 is about 34957.1597816527. The cubic root of 1222003020 is about 1069.1141881177.

Adding to 1222003020 its reverse (203002221), we get a palindrome (1425005241).

The spelling of 1222003020 in words is "one billion, two hundred twenty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 421 842 1263 1684 2105 2526 2947 4210 5052 5894 6315 6911 8420 8841 11788 12630 13822 14735 17682 20733 25260 27644 29470 34555 35364 41466 44205 48377 58940 69110 82932 88410 96754 103665 138220 145131 176820 193508 207330 241885 290262 414660 483770 580524 725655 967540 1451310 2902620 2909531 5819062 8728593 11638124 14547655 17457186 20366717 29095310 34914372 40733434 43642965 58190620 61100151 81466868 87285930 101833585 122200302 174571860 203667170 244400604 305500755 407334340 611001510 1222003020