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1130224200 = 2335272371039
BaseRepresentation
bin100001101011101…
…1101101001001000
32220202201100010120
41003113131221020
54303314133300
6304052343240
740002514200
oct10327355110
92822640116
101130224200
1152aa89196
12276614b20
13150203a21
14aa169400
15693563a0
hex435dda48

1130224200 has 288 divisors, whose sum is σ = 4189910400. Its totient is φ = 251112960.

The previous prime is 1130224159. The next prime is 1130224217. The reversal of 1130224200 is 24220311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130224200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087281 + ... + 1088319.

It is an arithmetic number, because the mean of its divisors is an integer number (14548300).

Almost surely, 21130224200 is an apocalyptic number.

1130224200 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 1130224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094955200).

1130224200 is an abundant number, since it is smaller than the sum of its proper divisors (3059686200).

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

1130224200 is a wasteful number, since it uses less digits than its factorization.

1130224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1130224200 is about 33618.8072364265. The cubic root of 1130224200 is about 1041.6493183955.

Adding to 1130224200 its reverse (24220311), we get a palindrome (1154444511).

The spelling of 1130224200 in words is "one billion, one hundred thirty million, two hundred twenty-four thousand, two hundred".