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1132412200 = 235222724943
BaseRepresentation
bin100001101111111…
…0011110100101000
32220220211111111121
41003133303310220
54304344142300
6304211305024
740030226203
oct10337636450
92826744447
101132412200
11531243057
122772ab174
131507bb8ba
14aa57893a
156963981a
hex437f3d28

1132412200 has 48 divisors (see below), whose sum is σ = 2644562880. Its totient is φ = 450951360.

The previous prime is 1132412167. The next prime is 1132412207. The reversal of 1132412200 is 22142311.

It is not an unprimeable number, because it can be changed into a prime (1132412207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32929 + ... + 57871.

It is an arithmetic number, because the mean of its divisors is an integer number (55095060).

Almost surely, 21132412200 is an apocalyptic number.

1132412200 is a gapful number since it is divisible by the number (10) 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 1132412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322281440).

1132412200 is an abundant number, since it is smaller than the sum of its proper divisors (1512150680).

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

1132412200 is a wasteful number, since it uses less digits than its factorization.

1132412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25186 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1132412200 is about 33651.3328116436. The cubic root of 1132412200 is about 1042.3210610956.

Adding to 1132412200 its reverse (22142311), we get a palindrome (1154554511).

The spelling of 1132412200 in words is "one billion, one hundred thirty-two million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 4540 5675 9080 11350 22700 24943 45400 49886 99772 124715 199544 249430 498860 623575 997720 1247150 2494300 4988600 5662061 11324122 22648244 28310305 45296488 56620610 113241220 141551525 226482440 283103050 566206100 1132412200