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2241035120 = 24528012939
BaseRepresentation
bin1000010110010011…
…0111101101110000
312210011220101020202
42011210313231300
514042201110440
61010213054332
7106351325042
oct20544675560
95704811222
102241035120
11a50007945
125266273a8
1329939b3ac
141738bda92
15d1b25615
hex85937b70

2241035120 has 20 divisors (see below), whose sum is σ = 5210406840. Its totient is φ = 896414016.

The previous prime is 2241035119. The next prime is 2241035179. The reversal of 2241035120 is 215301422.

2241035120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2241035092 and 2241035101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14006390 + ... + 14006549.

It is an arithmetic number, because the mean of its divisors is an integer number (260520342).

Almost surely, 22241035120 is an apocalyptic number.

2241035120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241035120 is an abundant number, since it is smaller than the sum of its proper divisors (2969371720).

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

2241035120 is a wasteful number, since it uses less digits than its factorization.

2241035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28012952 (or 28012946 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2241035120 is about 47339.5724526532. The cubic root of 2241035120 is about 1308.6280374526.

Adding to 2241035120 its reverse (215301422), we get a palindrome (2456336542).

The spelling of 2241035120 in words is "two billion, two hundred forty-one million, thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28012939 56025878 112051756 140064695 224103512 280129390 448207024 560258780 1120517560 2241035120