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2241313120 = 25519970393
BaseRepresentation
bin1000010110010111…
…1011100101100000
312210012102111121001
42011211323211200
514042234004440
61010223041344
7106353563404
oct20545734540
95705374531
102241313120
11a501877a2
12526740254
13299467aa7
14173953104
15d1b7cb9a
hex8597b960

2241313120 has 48 divisors (see below), whose sum is σ = 5321786400. Its totient is φ = 892007424.

The previous prime is 2241313117. The next prime is 2241313121. The reversal of 2241313120 is 213131422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241313121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3357 + ... + 67036.

It is an arithmetic number, because the mean of its divisors is an integer number (110870550).

Almost surely, 22241313120 is an apocalyptic number.

2241313120 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 2241313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660893200).

2241313120 is an abundant number, since it is smaller than the sum of its proper divisors (3080473280).

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

2241313120 is a wasteful number, since it uses less digits than its factorization.

2241313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70607 (or 70599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2241313120 is about 47342.5085942855. The cubic root of 2241313120 is about 1308.6821469054.

Adding to 2241313120 its reverse (213131422), we get a palindrome (2454444542).

The spelling of 2241313120 in words is "two billion, two hundred forty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7960 15920 31840 70393 140786 281572 351965 563144 703930 1126288 1407860 2252576 2815720 5631440 11262880 14008207 28016414 56032828 70041035 112065656 140082070 224131312 280164140 448262624 560328280 1120656560 2241313120