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1222333020 = 2232543315683
BaseRepresentation
bin100100011011011…
…0101001001011100
310011012000221200100
41020312311021130
510000404124040
6321142501100
742201442056
oct11066651134
93135027610
101222333020
11577a7a987
122a1434790
1316631379c
14b84a48d6
157249cb30
hex48db525c

1222333020 has 72 divisors (see below), whose sum is σ = 3716543376. Its totient is φ = 325181952.

The previous prime is 1222333003. The next prime is 1222333027. The reversal of 1222333020 is 203332221.

It is a happy number.

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 = 1222332984 and 1222333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222333027) 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, 70099 + ... + 85781.

It is an arithmetic number, because the mean of its divisors is an integer number (51618658).

Almost surely, 21222333020 is an apocalyptic number.

1222333020 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 1222333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858271688).

1222333020 is an abundant number, since it is smaller than the sum of its proper divisors (2494210356).

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

1222333020 is a wasteful number, since it uses less digits than its factorization.

1222333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16131 (or 16126 counting only the distinct ones).

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

The square root of 1222333020 is about 34961.8795261353. The cubic root of 1222333020 is about 1069.2104169929.

Adding to 1222333020 its reverse (203332221), we get a palindrome (1425665241).

The spelling of 1222333020 in words is "one billion, two hundred twenty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 433 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 12990 15588 15683 19485 25980 31366 38970 47049 62732 77940 78415 94098 141147 156830 188196 235245 282294 313660 470490 564588 705735 940980 1411470 2822940 6790739 13581478 20372217 27162956 33953695 40744434 61116651 67907390 81488868 101861085 122233302 135814780 203722170 244466604 305583255 407444340 611166510 1222333020