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2156814336 = 21331931149
BaseRepresentation
bin1000000010001110…
…0110000000000000
312120022102112001110
42000203212000000
513404121024321
6554004003320
7104306422305
oct20043460000
95508375043
102156814336
11a07513596
12502390540
13284ac0b01
141666390ac
15c953b176
hex808e6000

2156814336 has 224 divisors, whose sum is σ = 6291072000. Its totient is φ = 654704640.

The previous prime is 2156814269. The next prime is 2156814371. The reversal of 2156814336 is 6334186512.

It is a junction number, because it is equal to n+sod(n) for n = 2156814294 and 2156814303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14475190 + ... + 14475338.

Almost surely, 22156814336 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 2156814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145536000).

2156814336 is an abundant number, since it is smaller than the sum of its proper divisors (4134257664).

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

2156814336 is a wasteful number, since it uses less digits than its factorization.

2156814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2156814336 is about 46441.5152207591. The cubic root of 2156814336 is about 1292.0250101393.

The spelling of 2156814336 in words is "two billion, one hundred fifty-six million, eight hundred fourteen thousand, three hundred thirty-six".