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22830333520 = 245299840661
BaseRepresentation
bin10101010000110010…
…110011111001010000
32011221002022002221011
4111100302303321100
5333224031133040
614253233140304
71435520430061
oct252062637120
964832262834
1022830333520
119756145535
1245119ba694
1321cab958b7
141168164568
158d94983ea
hex550cb3e50

22830333520 has 40 divisors (see below), whose sum is σ = 54910893960. Its totient is φ = 8817231360.

The previous prime is 22830333499. The next prime is 22830333529. The reversal of 22830333520 is 2533303822.

It can be written as a sum of positive squares in 4 ways, for example, as 5983331904 + 16847001616 = 77352^2 + 129796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22830333529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4918011 + ... + 4922650.

It is an arithmetic number, because the mean of its divisors is an integer number (1372772349).

Almost surely, 222830333520 is an apocalyptic number.

22830333520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22830333520 is an abundant number, since it is smaller than the sum of its proper divisors (32080560440).

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

22830333520 is a wasteful number, since it uses less digits than its factorization.

22830333520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840703 (or 9840697 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 22830333520 in words is "twenty-two billion, eight hundred thirty million, three hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9840661 19681322 39362644 49203305 78725288 98406610 157450576 196813220 285379169 393626440 570758338 787252880 1141516676 1426895845 2283033352 2853791690 4566066704 5707583380 11415166760 22830333520