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215232251040 = 253252931166259
BaseRepresentation
bin1100100001110011010…
…1111000010010100000
3202120112220110012201100
43020130311320102200
512011243424013130
6242513142034400
721356440643112
oct3103465702240
9676486405640
10215232251040
1183308aa3924
1235868a18a00
13173b1004c81
14a5bb0c13b2
1558ea863c60
hex321cd784a0

215232251040 has 288 divisors, whose sum is σ = 784321574400. Its totient is φ = 53628180480.

The previous prime is 215232251027. The next prime is 215232251053. The reversal of 215232251040 is 40152232512.

215232251040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215232251027) and next prime (215232251053).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 215232250995 and 215232251013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211431 + ... + 1377689.

It is an arithmetic number, because the mean of its divisors is an integer number (2723338800).

Almost surely, 2215232251040 is an apocalyptic number.

215232251040 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 215232251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392160787200).

215232251040 is an abundant number, since it is smaller than the sum of its proper divisors (569089323360).

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

215232251040 is a wasteful number, since it uses less digits than its factorization.

215232251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166340 (or 166329 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 215232251040 its reverse (40152232512), we get a palindrome (255384483552).

The spelling of 215232251040 in words is "two hundred fifteen billion, two hundred thirty-two million, two hundred fifty-one thousand, forty".