Search a number
-
+
1133442200 = 2352111015101
BaseRepresentation
bin100001110001110…
…1111010010011000
32220222202211101202
41003203233102120
54310130122300
6304245333332
740042046132
oct10343572230
92828684352
101133442200
115318869a0
12277707248
13150a8c677
14aa766052
156978ead5
hex438ef498

1133442200 has 96 divisors (see below), whose sum is σ = 2903854320. Its totient is φ = 408000000.

The previous prime is 1133442143. The next prime is 1133442209. The reversal of 1133442200 is 22443311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133442209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219650 + ... + 224750.

Almost surely, 21133442200 is an apocalyptic number.

1133442200 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 1133442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451927160).

1133442200 is an abundant number, since it is smaller than the sum of its proper divisors (1770412120).

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

1133442200 is a wasteful number, since it uses less digits than its factorization.

1133442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1133442200 is about 33666.6333333168. The cubic root of 1133442200 is about 1042.6369841484.

Adding to 1133442200 its reverse (22443311), we get a palindrome (1155885511).

The spelling of 1133442200 in words is "one billion, one hundred thirty-three million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5101 5555 8888 10100 10202 11110 20200 20404 22220 25505 27775 40808 44440 51010 55550 56111 102020 111100 112222 127525 204040 222200 224444 255050 280555 448888 510100 515201 561110 1020200 1030402 1122220 1402775 2060804 2244440 2576005 2805550 4121608 5152010 5611100 5667211 10304020 11222200 11334422 12880025 20608040 22668844 25760050 28336055 45337688 51520100 56672110 103040200 113344220 141680275 226688440 283360550 566721100 1133442200