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2149200000 = 273355199
BaseRepresentation
bin1000000000011010…
…0011000010000000
312112210002200011000
42000012203002000
513400143400000
6553132452000
7104154620133
oct20006430200
95483080130
102149200000
11a03192852
124bb91a000
1328335609c
1416561621a
15c8a35000
hex801a3080

2149200000 has 384 divisors, whose sum is σ = 7968240000. Its totient is φ = 570240000.

The previous prime is 2149199981. The next prime is 2149200041. The reversal of 2149200000 is 29412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 10799901 + ... + 10800099.

It is an arithmetic number, because the mean of its divisors is an integer number (20750625).

Almost surely, 22149200000 is an apocalyptic number.

2149200000 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 2149200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120000).

2149200000 is an abundant number, since it is smaller than the sum of its proper divisors (5819040000).

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

2149200000 is an frugal number, since it uses more digits than its factorization.

2149200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2149200000 is about 46359.4650529965. The cubic root of 2149200000 is about 1290.5027785970.

Adding to 2149200000 its reverse (29412), we get a palindrome (2149229412).

The spelling of 2149200000 in words is "two billion, one hundred forty-nine million, two hundred thousand".