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2315146032 = 243222970207
BaseRepresentation
bin1000100111111110…
…0101001100110000
312222100100121022100
42021333211030300
514220134133112
61021421340400
7111241262613
oct21177451460
95870317270
102315146032
11a88926531
12547407700
132ab8490c4
1417d69217a
15d83b42dc
hex89fe5330

2315146032 has 60 divisors (see below), whose sum is σ = 6507579520. Its totient is φ = 768334464.

The previous prime is 2315146027. The next prime is 2315146033. The reversal of 2315146032 is 2306415132.

2315146032 is a `hidden beast` number, since 2 + 3 + 1 + 51 + 4 + 603 + 2 = 666.

2315146032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23151460322 = 10719802298970690048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2315145987 and 2315146005.

It is not an unprimeable number, because it can be changed into a prime (2315146033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2128 + ... + 68079.

Almost surely, 22315146032 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 2315146032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253789760).

2315146032 is an abundant number, since it is smaller than the sum of its proper divisors (4192433488).

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

2315146032 is a wasteful number, since it uses less digits than its factorization.

2315146032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70450 (or 70441 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2315146032 is about 48115.9644193068. The cubic root of 2315146032 is about 1322.8972999055.

The spelling of 2315146032 in words is "two billion, three hundred fifteen million, one hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 70207 140414 210621 280828 421242 561656 631863 842484 1123312 1263726 1684968 2527452 3369936 5054904 10109808 16077403 32154806 48232209 64309612 96464418 128619224 144696627 192928836 257238448 289393254 385857672 578786508 771715344 1157573016 2315146032