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2241126648 = 2332311004089
BaseRepresentation
bin1000010110010100…
…1110000011111000
312210012002000210200
42011211032003320
514042212023043
61010215042200
7106352155635
oct20545160370
95705060720
102241126648
11a5006a692
12526670360
13299400c57
1417390518c
15d1b427d3
hex8594e0f8

2241126648 has 48 divisors (see below), whose sum is σ = 6265521600. Its totient is φ = 722943360.

The previous prime is 2241126631. The next prime is 2241126653. The reversal of 2241126648 is 8466211422.

2241126648 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 2 + 6 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499813 + ... + 504276.

It is an arithmetic number, because the mean of its divisors is an integer number (130531700).

Almost surely, 22241126648 is an apocalyptic number.

It is an amenable number.

2241126648 is an abundant number, since it is smaller than the sum of its proper divisors (4024394952).

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

2241126648 is a wasteful number, since it uses less digits than its factorization.

2241126648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004132 (or 1004125 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2241126648 is about 47340.5391604278. The cubic root of 2241126648 is about 1308.6458528028.

The spelling of 2241126648 in words is "two billion, two hundred forty-one million, one hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1004089 2008178 3012267 4016356 6024534 8032712 9036801 12049068 18073602 24098136 31126759 36147204 62253518 72294408 93380277 124507036 186760554 249014072 280140831 373521108 560281662 747042216 1120563324 2241126648