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3819295220 = 22513210632
BaseRepresentation
bin1110001110100101…
…1101000111110100
3100212011200022002112
43203221131013310
530310214421340
61430552430152
7163434321326
oct34351350764
910764608075
103819295220
11168a990034
128a70a8358
1348b361b00
14283355616
1517547d065
hexe3a5d1f4

3819295220 has 54 divisors (see below), whose sum is σ = 8693119638. Its totient is φ = 1408874688.

The previous prime is 3819295219. The next prime is 3819295237. The reversal of 3819295220 is 225929183.

It can be written as a sum of positive squares in 3 ways, for example, as 18079504 + 3801215716 = 4252^2 + 61654^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3592409 + ... + 3593471.

It is an arithmetic number, because the mean of its divisors is an integer number (160983697).

Almost surely, 23819295220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3819295220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346559819).

3819295220 is an abundant number, since it is smaller than the sum of its proper divisors (4873824418).

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

3819295220 is a wasteful number, since it uses less digits than its factorization.

3819295220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 3819295220 is about 61800.4467621392. The cubic root of 3819295220 is about 1563.1275219819.

The spelling of 3819295220 in words is "three billion, eight hundred nineteen million, two hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1063 1690 2126 3380 4252 5315 10630 13819 21260 27638 55276 69095 138190 179647 276380 359294 718588 898235 1129969 1796470 2259938 3592940 4519876 5649845 11299690 14689597 22599380 29379194 58758388 73447985 146895970 190964761 293791940 381929522 763859044 954823805 1909647610 3819295220