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22232011020320 = 255181497656073
BaseRepresentation
bin1010000111000010010110…
…00111101001100000100000
32220201100201001222100202102
411003201023013221200200
510403222124310122240
6115141124520305532
74453131646453553
oct503411307514040
986640631870672
1022232011020320
1170a15a76a7412
1225b08676122a8
13c53614a647ca
1456c06c36069a
1528848b74e815
hex14384b1e9820

22232011020320 has 48 divisors (see below), whose sum is σ = 52526026891800. Its totient is φ = 8892313257984.

The previous prime is 22232011020277. The next prime is 22232011020437. The reversal of 22232011020320 is 2302011023222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21024095721616 + 1207915298704 = 4585204^2 + 1099052^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22232011020292 and 22232011020301.

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 7 ways as a sum of consecutive naturals, for example, 924197 + ... + 6731876.

Almost surely, 222232011020320 is an apocalyptic number.

22232011020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232011020320 is an abundant number, since it is smaller than the sum of its proper divisors (30294015871480).

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

22232011020320 is a wasteful number, since it uses less digits than its factorization.

22232011020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674237 (or 7674229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22232011020320 its reverse (2302011023222), we get a palindrome (24534022043542).

The spelling of 22232011020320 in words is "twenty-two trillion, two hundred thirty-two billion, eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 18149 36298 72596 90745 145192 181490 290384 362980 580768 725960 1451920 2903840 7656073 15312146 30624292 38280365 61248584 76560730 122497168 153121460 244994336 306242920 612485840 1224971680 138950068877 277900137754 555800275508 694750344385 1111600551016 1389500688770 2223201102032 2779001377540 4446402204064 5558002755080 11116005510160 22232011020320