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2248031120 = 24528100389
BaseRepresentation
bin1000010111111110…
…0011101110010000
312210200001210221212
42011333203232100
514100443443440
61011023035252
7106464643406
oct20577435620
95720053855
102248031120
11a53a56065
12528a3bb28
1329a97a83a
141747c1476
15d2558465
hex85fe3b90

2248031120 has 20 divisors (see below), whose sum is σ = 5226672540. Its totient is φ = 899212416.

The previous prime is 2248031087. The next prime is 2248031129. The reversal of 2248031120 is 211308422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 776848384 + 1471182736 = 27872^2 + 38356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2248031129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14050115 + ... + 14050274.

It is an arithmetic number, because the mean of its divisors is an integer number (261333627).

Almost surely, 22248031120 is an apocalyptic number.

2248031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248031120 is an abundant number, since it is smaller than the sum of its proper divisors (2978641420).

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

2248031120 is a wasteful number, since it uses less digits than its factorization.

2248031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28100402 (or 28100396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2248031120 is about 47413.4065428756. The cubic root of 2248031120 is about 1309.9883688729.

Adding to 2248031120 its reverse (211308422), we get a palindrome (2459339542).

The spelling of 2248031120 in words is "two billion, two hundred forty-eight million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28100389 56200778 112401556 140501945 224803112 281003890 449606224 562007780 1124015560 2248031120