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2241184820 = 225716008463
BaseRepresentation
bin1000010110010101…
…1100010000110100
312210012011222121012
42011211130100310
514042220403240
61010220211352
7106352520350
oct20545342064
95705158535
102241184820
11a500aa366
12526699b58
13299421584
1417391c460
15d1b54b65
hex8595c434

2241184820 has 24 divisors (see below), whose sum is σ = 5378843904. Its totient is φ = 768406176.

The previous prime is 2241184787. The next prime is 2241184867. The reversal of 2241184820 is 284811422.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8004092 + ... + 8004371.

It is an arithmetic number, because the mean of its divisors is an integer number (224118496).

Almost surely, 22241184820 is an apocalyptic number.

2241184820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241184820 is an abundant number, since it is smaller than the sum of its proper divisors (3137659084).

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

2241184820 is a wasteful number, since it uses less digits than its factorization.

2241184820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008479 (or 16008477 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2241184820 is about 47341.1535558651. The cubic root of 2241184820 is about 1308.6571753650.

The spelling of 2241184820 in words is "two billion, two hundred forty-one million, one hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 16008463 32016926 64033852 80042315 112059241 160084630 224118482 320169260 448236964 560296205 1120592410 2241184820