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2149171200 = 21432521153
BaseRepresentation
bin1000000000011001…
…1100000000000000
312112210001012122100
42000012130000000
513400141434300
6553132110400
7104154440151
oct20006340000
95483035570
102149171200
11a03173150
124bb905400
13283345c47
14165609928
15c8a2b700
hex8019c000

2149171200 has 540 divisors, whose sum is σ = 8556905448. Its totient is φ = 511180800.

The previous prime is 2149171177. The next prime is 2149171201. The reversal of 2149171200 is 21719412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149171201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40550374 + ... + 40550426.

Almost surely, 22149171200 is an apocalyptic number.

2149171200 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 2149171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278452724).

2149171200 is an abundant number, since it is smaller than the sum of its proper divisors (6407734248).

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

2149171200 is a wasteful number, since it uses less digits than its factorization.

2149171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2149171200 is about 46359.1544357746. The cubic root of 2149171200 is about 1290.4970141814.

The spelling of 2149171200 in words is "two billion, one hundred forty-nine million, one hundred seventy-one thousand, two hundred".