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2315421040 = 245239712973
BaseRepresentation
bin1000101000000010…
…1000010101110000
312222100212120112211
42022000220111300
514220221433130
61021431301504
7111243516442
oct21200502560
95870776484
102315421040
11a88aa4109
1254751a894
132ab91432a
1417d724492
15d841aa2a
hex8a028570

2315421040 has 80 divisors (see below), whose sum is σ = 5675761728. Its totient is φ = 876699648.

The previous prime is 2315421011. The next prime is 2315421047. The reversal of 2315421040 is 401245132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23154210402 = 10722349184949363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315421047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171994 + ... + 184966.

Almost surely, 22315421040 is an apocalyptic number.

2315421040 is a gapful number since it is divisible by the number (20) 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 2315421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837880864).

2315421040 is an abundant number, since it is smaller than the sum of its proper divisors (3360340688).

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

2315421040 is a wasteful number, since it uses less digits than its factorization.

2315421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13106 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2315421040 is about 48118.8220969716. The cubic root of 2315421040 is about 1322.9496785937.

Adding to 2315421040 its reverse (401245132), we get a palindrome (2716666172).

The spelling of 2315421040 in words is "two billion, three hundred fifteen million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 97 115 184 194 230 368 388 460 485 776 920 970 1552 1840 1940 2231 3880 4462 7760 8924 11155 12973 17848 22310 25946 35696 44620 51892 64865 89240 103784 129730 178480 207568 259460 298379 518920 596758 1037840 1193516 1258381 1491895 2387032 2516762 2983790 4774064 5033524 5967580 6291905 10067048 11935160 12583810 20134096 23870320 25167620 28942763 50335240 57885526 100670480 115771052 144713815 231542104 289427630 463084208 578855260 1157710520 2315421040