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1130322200 = 23527316477
BaseRepresentation
bin100001101011111…
…0101100100011000
32220202220022120012
41003113311210120
54303330302300
6304054421052
740003403000
oct10327654430
92822808505
101130322200
11530045887
12276661788
13150239507
14aa193000
1569375435
hex435f5918

1130322200 has 96 divisors (see below), whose sum is σ = 3064908000. Its totient is φ = 387515520.

The previous prime is 1130322187. The next prime is 1130322233. The reversal of 1130322200 is 22230311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60362 + ... + 76838.

It is an arithmetic number, because the mean of its divisors is an integer number (31926125).

Almost surely, 21130322200 is an apocalyptic number.

1130322200 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 1130322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532454000).

1130322200 is an abundant number, since it is smaller than the sum of its proper divisors (1934585800).

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

1130322200 is a wasteful number, since it uses less digits than its factorization.

1130322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16514 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1130322200 is about 33620.2647223367. The cubic root of 1130322200 is about 1041.6794241282.

Adding to 1130322200 its reverse (22230311), we get a palindrome (1152552511).

The spelling of 1130322200 in words is "one billion, one hundred thirty million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 16477 17150 32954 34300 65908 68600 82385 115339 131816 164770 230678 329540 411925 461356 576695 659080 807373 823850 922712 1153390 1614746 1647700 2306780 2883475 3229492 3295400 4036865 4613560 5651611 5766950 6458984 8073730 11303222 11533900 16147460 20184325 22606444 23067800 28258055 32294920 40368650 45212888 56516110 80737300 113032220 141290275 161474600 226064440 282580550 565161100 1130322200