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830322297800 = 2352644332
BaseRepresentation
bin11000001010100110001…
…00001100101111001000
32221101012120220001211022
430011103010030233020
5102101000002012200
61433240024252012
7113663106036422
oct14052304145710
92841176801738
10830322297800
112a0157321946
12114b09311008
13603b7048818
142c28b509812
15168ea381885
hexc15310cbc8

830322297800 has 36 divisors (see below), whose sum is σ = 1930529304195. Its totient is φ = 332123764480.

The previous prime is 830322297743. The next prime is 830322297841. The reversal of 830322297800 is 8792223038.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 259514849476 + 570807448324 = 509426^2 + 755518^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=644330.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12854384 + ... + 12918816.

Almost surely, 2830322297800 is an apocalyptic number.

It is an amenable number.

830322297800 is an abundant number, since it is smaller than the sum of its proper divisors (1100207006395).

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

830322297800 is an frugal number, since it uses more digits than its factorization.

830322297800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128882 (or 64440 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

It can be divided in two parts, 83032 and 2297800, that added together give a palindrome (2380832).

The spelling of 830322297800 in words is "eight hundred thirty billion, three hundred twenty-two million, two hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 64433 128866 257732 322165 515464 644330 1288660 1610825 2577320 3221650 6443300 12886600 4151611489 8303222978 16606445956 20758057445 33212891912 41516114890 83032229780 103790287225 166064459560 207580574450 415161148900 830322297800