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1322233020 = 223257345739
BaseRepresentation
bin100111011001111…
…1010110010111100
310102011000101201100
41032303322302330
510201442424040
6335112013100
744523536523
oct11663726274
93364011640
101322233020
11619403269
1230a991190
13180c20904
14c786b4ba
157b132b30
hex4ecfacbc

1322233020 has 36 divisors (see below), whose sum is σ = 4010774040. Its totient is φ = 352595424.

The previous prime is 1322232991. The next prime is 1322233051. The reversal of 1322233020 is 203322231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1322232984 and 1322233002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3672690 + ... + 3673049.

It is an arithmetic number, because the mean of its divisors is an integer number (111410390).

Almost surely, 21322233020 is an apocalyptic number.

1322233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322233020 is an abundant number, since it is smaller than the sum of its proper divisors (2688541020).

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

1322233020 is a wasteful number, since it uses less digits than its factorization.

1322233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345754 (or 7345749 counting only the distinct ones).

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

The square root of 1322233020 is about 36362.5221897492. The cubic root of 1322233020 is about 1097.5795318409.

Adding to 1322233020 its reverse (203322231), we get a palindrome (1525555251).

The spelling of 1322233020 in words is "one billion, three hundred twenty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7345739 14691478 22037217 29382956 36728695 44074434 66111651 73457390 88148868 110186085 132223302 146914780 220372170 264446604 330558255 440744340 661116510 1322233020