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2200031120 = 24574997873
BaseRepresentation
bin1000001100100001…
…1100111110010000
312200022202011100002
42003020130332100
514001201443440
61002150145132
7105342645620
oct20310347620
95608664302
102200031120
11a29950a41
125149521a8
13290a42881
1416c288880
15cd226115
hex8321cf90

2200031120 has 80 divisors (see below), whose sum is σ = 5858256000. Its totient is φ = 752689152.

The previous prime is 2200031111. The next prime is 2200031129. The reversal of 2200031120 is 211300022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200031111) and next prime (2200031129).

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

It is not an unprimeable number, because it can be changed into a prime (2200031129) 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, 275504 + ... + 283376.

It is an arithmetic number, because the mean of its divisors is an integer number (73228200).

Almost surely, 22200031120 is an apocalyptic number.

2200031120 is a gapful number since it is divisible by the number (20) 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 2200031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929128000).

2200031120 is an abundant number, since it is smaller than the sum of its proper divisors (3658224880).

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

2200031120 is a wasteful number, since it uses less digits than its factorization.

2200031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2200031120 is about 46904.4893373758. The cubic root of 2200031120 is about 1300.5975793082.

Adding to 2200031120 its reverse (211300022), we get a palindrome (2411331142).

The spelling of 2200031120 in words is "two billion, two hundred million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 499 560 998 1996 2495 3493 3992 4990 6986 7873 7984 9980 13972 15746 17465 19960 27944 31492 34930 39365 39920 55111 55888 62984 69860 78730 110222 125968 139720 157460 220444 275555 279440 314920 440888 551110 629840 881776 1102220 2204440 3928627 4408880 7857254 15714508 19643135 27500389 31429016 39286270 55000778 62858032 78572540 110001556 137501945 157145080 220003112 275003890 314290160 440006224 550007780 1100015560 2200031120