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2170861056 = 293271331167
BaseRepresentation
bin1000000101100100…
…1011011000000000
312121021212011112100
42001121023120000
513421220023211
6555225030400
7104540004660
oct20131133000
95537764470
102170861056
11a14438051
12507025400
1328799b590
141684541a0
15ca8b3156
hex8164b600

2170861056 has 480 divisors, whose sum is σ = 8007487488. Its totient is φ = 550748160.

The previous prime is 2170861039. The next prime is 2170861057. The reversal of 2170861056 is 6501680712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2170861056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170861057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12999085 + ... + 12999251.

Almost surely, 22170861056 is an apocalyptic number.

2170861056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 46592×46593.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744).

2170861056 is an abundant number, since it is smaller than the sum of its proper divisors (5836626432).

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

2170861056 is a wasteful number, since it uses less digits than its factorization.

2170861056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2170861056 is about 46592.4999973172. The cubic root of 2170861056 is about 1294.8238071187.

The spelling of 2170861056 in words is "two billion, one hundred seventy million, eight hundred sixty-one thousand, fifty-six".