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22133000320 = 27534582813
BaseRepresentation
bin10100100111001110…
…101100100010000000
32010010111010220121121
4110213032230202000
5330312022002240
614100123002024
71412322253504
oct244716544200
963114126547
1022133000320
119428557802
124358369314
13211957b2c2
1410dd6c2304
1589815104a
hex5273ac880

22133000320 has 32 divisors (see below), whose sum is σ = 52911705420. Its totient is φ = 8853199872.

The previous prime is 22133000251. The next prime is 22133000321. The reversal of 22133000320 is 2300033122.

It can be written as a sum of positive squares in 2 ways, for example, as 22005942336 + 127057984 = 148344^2 + 11272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22133000294 and 22133000303.

It is not an unprimeable number, because it can be changed into a prime (22133000321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17290767 + ... + 17292046.

Almost surely, 222133000320 is an apocalyptic number.

22133000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133000320 is an abundant number, since it is smaller than the sum of its proper divisors (30778705100).

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

22133000320 is an equidigital number, since it uses as much as digits as its factorization.

22133000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34582832 (or 34582820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22133000320 its reverse (2300033122), we get a palindrome (24433033442).

The spelling of 22133000320 in words is "twenty-two billion, one hundred thirty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34582813 69165626 138331252 172914065 276662504 345828130 553325008 691656260 1106650016 1383312520 2213300032 2766625040 4426600064 5533250080 11066500160 22133000320