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2315150560 = 255235910663
BaseRepresentation
bin1000100111111110…
…0110010011100000
312222100100211112001
42021333212103200
514220134304220
61021421413344
7111241312042
oct21177462340
95870324461
102315150560
11a88929978
1254740a254
132ab84b198
1417d693a92
15d83b580a
hex89fe64e0

2315150560 has 96 divisors (see below), whose sum is σ = 5804628480. Its totient is φ = 870701568.

The previous prime is 2315150483. The next prime is 2315150597. The reversal of 2315150560 is 650515132.

2315150560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211789 + ... + 222451.

It is an arithmetic number, because the mean of its divisors is an integer number (60464880).

Almost surely, 22315150560 is an apocalyptic number.

2315150560 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 2315150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902314240).

2315150560 is an abundant number, since it is smaller than the sum of its proper divisors (3489477920).

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

2315150560 is a wasteful number, since it uses less digits than its factorization.

2315150560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 2315150560 is about 48116.0114722740. The cubic root of 2315150560 is about 1322.8981623529.

Adding to 2315150560 its reverse (650515132), we get a palindrome (2965665692).

The spelling of 2315150560 in words is "two billion, three hundred fifteen million, one hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 80 92 115 118 160 184 230 236 295 368 460 472 590 736 920 944 1180 1357 1840 1888 2360 2714 3680 4720 5428 6785 9440 10663 10856 13570 21326 21712 27140 42652 43424 53315 54280 85304 106630 108560 170608 213260 217120 245249 341216 426520 490498 629117 853040 980996 1226245 1258234 1706080 1961992 2452490 2516468 3145585 3923984 4904980 5032936 6291170 7847968 9809960 10065872 12582340 14469691 19619920 20131744 25164680 28939382 39239840 50329360 57878764 72348455 100658720 115757528 144696910 231515056 289393820 463030112 578787640 1157575280 2315150560