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2041410224 = 247292772269
BaseRepresentation
bin111100110101101…
…0111001010110000
312021021021101101002
41321223113022300
513140100111344
6534322301132
7101405462210
oct17153271260
95237241332
102041410224
11958360797
1248b7b77a8
13266c15a59
14155198240
15be34244e
hex79ad72b0

2041410224 has 80 divisors (see below), whose sum is σ = 4695086400. Its totient is φ = 841300992.

The previous prime is 2041410221. The next prime is 2041410263. The reversal of 2041410224 is 4220141402.

It is a junction number, because it is equal to n+sod(n) for n = 2041410196 and 2041410205.

It is not an unprimeable number, because it can be changed into a prime (2041410221) 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 15 ways as a sum of consecutive naturals, for example, 898562 + ... + 900830.

It is an arithmetic number, because the mean of its divisors is an integer number (58688580).

Almost surely, 22041410224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347543200).

2041410224 is an abundant number, since it is smaller than the sum of its proper divisors (2653676176).

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

2041410224 is a wasteful number, since it uses less digits than its factorization.

2041410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2041410224 is about 45181.9679075624. The cubic root of 2041410224 is about 1268.5573185227.

Adding to 2041410224 its reverse (4220141402), we get a palindrome (6261551626).

The spelling of 2041410224 in words is "two billion, forty-one million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 277 406 464 554 812 1108 1624 1939 2216 2269 3248 3878 4432 4538 7756 8033 9076 15512 15883 16066 18152 31024 31766 32132 36304 56231 63532 64264 65801 112462 127064 128528 131602 224924 254128 263204 449848 460607 526408 628513 899696 921214 1052816 1257026 1842428 2514052 3684856 4399591 5028104 7369712 8799182 10056208 17598364 18226877 35196728 36453754 70393456 72907508 127588139 145815016 255176278 291630032 510352556 1020705112 2041410224