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2295433028 = 2272233491459
BaseRepresentation
bin1000100011010001…
…1000011101000100
312220222021002011002
42020310120131010
514200112324103
61015435032432
7110611600400
oct21064303504
95828232132
102295433028
11a78791899
1254089b718
132a77364c5
1417ac00100
15d67bd488
hex88d18744

2295433028 has 72 divisors (see below), whose sum is σ = 4893336000. Its totient is φ = 937645632.

The previous prime is 2295433013. The next prime is 2295433031. The reversal of 2295433028 is 8203345922.

It is a junction number, because it is equal to n+sod(n) for n = 2295432982 and 2295433000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1572563 + ... + 1574021.

It is an arithmetic number, because the mean of its divisors is an integer number (67963000).

Almost surely, 22295433028 is an apocalyptic number.

2295433028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295433028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446668000).

2295433028 is an abundant number, since it is smaller than the sum of its proper divisors (2597902972).

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

2295433028 is a wasteful number, since it uses less digits than its factorization.

2295433028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 2295433028 is about 47910.6775990488. The cubic root of 2295433028 is about 1319.1318572302.

The spelling of 2295433028 in words is "two billion, two hundred ninety-five million, four hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 349 644 698 1127 1396 1459 2254 2443 2918 4508 4886 5836 8027 9772 10213 16054 17101 20426 32108 33557 34202 40852 56189 67114 68404 71491 112378 134228 142982 224756 234899 285964 393323 469798 509191 786646 939596 1018382 1573292 1644293 2036764 3288586 3564337 6577172 7128674 11711393 14257348 23422786 24950359 46845572 49900718 81979751 99801436 163959502 327919004 573858257 1147716514 2295433028