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1120222000 = 24533111801
BaseRepresentation
bin100001011000101…
…0011101100110000
32220001220011200201
41002301103230300
54243234101000
6303054124544
736521505232
oct10261235460
92801804621
101120222000
11525377407
122731b0754
1314b111171
14a8ac4252
156852c96a
hex42c53b30

1120222000 has 80 divisors (see below), whose sum is σ = 2718915264. Its totient is φ = 446400000.

The previous prime is 1120221979. The next prime is 1120222001. The reversal of 1120222000 is 2220211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1120222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621100 + ... + 622900.

Almost surely, 21120222000 is an apocalyptic number.

1120222000 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 1120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359457632).

1120222000 is an abundant number, since it is smaller than the sum of its proper divisors (1598693264).

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

1120222000 is a wasteful number, since it uses less digits than its factorization.

1120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1120222000 is about 33469.7176564129. The cubic root of 1120222000 is about 1038.5674309379.

Adding to 1120222000 its reverse (2220211), we get a palindrome (1122442211).

The spelling of 1120222000 in words is "one billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 311 400 500 622 1000 1244 1555 1801 2000 2488 3110 3602 4976 6220 7204 7775 9005 12440 14408 15550 18010 24880 28816 31100 36020 38875 45025 62200 72040 77750 90050 124400 144080 155500 180100 225125 311000 360200 450250 560111 622000 720400 900500 1120222 1801000 2240444 2800555 3602000 4480888 5601110 8961776 11202220 14002775 22404440 28005550 44808880 56011100 70013875 112022200 140027750 224044400 280055500 560111000 1120222000