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2157152382 = 2327311231381
BaseRepresentation
bin1000000010010011…
…1000100001111110
312120100001200202200
42000210320201332
513404212334012
6554015132330
7104312331000
oct20044704176
95510050680
102157152382
11a07724570
125025140a6
13284bab938
141666c6370
15c95a63dc
hex8093887e

2157152382 has 192 divisors, whose sum is σ = 6209049600. Its totient is φ = 535550400.

The previous prime is 2157152341. The next prime is 2157152383. The reversal of 2157152382 is 2832517512.

2157152382 is a `hidden beast` number, since 2 + 1 + 57 + 1 + 523 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157152383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561332 + ... + 1562712.

It is an arithmetic number, because the mean of its divisors is an integer number (32338800).

Almost surely, 22157152382 is an apocalyptic number.

2157152382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157152382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104524800).

2157152382 is an abundant number, since it is smaller than the sum of its proper divisors (4051897218).

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

2157152382 is a wasteful number, since it uses less digits than its factorization.

2157152382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1427 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2157152382 is about 46445.1545588988. The cubic root of 2157152382 is about 1292.0925080014.

Adding to 2157152382 its reverse (2832517512), we get a palindrome (4989669894).

The spelling of 2157152382 in words is "two billion, one hundred fifty-seven million, one hundred fifty-two thousand, three hundred eighty-two".