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2241000040 = 235434572851
BaseRepresentation
bin1000010110010010…
…1111001001101000
312210011211121010111
42011210233021220
514042144000130
61010212224104
7106351120546
oct20544571150
95704747114
102241000040
11a4aa93554
1252660b034
13299388436
141738b0d96
15d1b1a02a
hex8592f268

2241000040 has 64 divisors (see below), whose sum is σ = 5172615360. Its totient is φ = 873331200.

The previous prime is 2241000029. The next prime is 2241000071. The reversal of 2241000040 is 400001422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784615 + ... + 787465.

It is an arithmetic number, because the mean of its divisors is an integer number (80822115).

Almost surely, 22241000040 is an apocalyptic number.

2241000040 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 2241000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586307680).

2241000040 is an abundant number, since it is smaller than the sum of its proper divisors (2931615320).

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

2241000040 is a wasteful number, since it uses less digits than its factorization.

2241000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2241000040 is about 47339.2019366613. The cubic root of 2241000040 is about 1308.6212092224.

Adding to 2241000040 its reverse (400001422), we get a palindrome (2641001462).

The spelling of 2241000040 in words is "two billion, two hundred forty-one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 457 860 914 1720 1828 2285 2851 3656 4570 5702 9140 11404 14255 18280 19651 22808 28510 39302 57020 78604 98255 114040 122593 157208 196510 245186 393020 490372 612965 786040 980744 1225930 1302907 2451860 2605814 4903720 5211628 6514535 10423256 13029070 26058140 52116280 56025001 112050002 224100004 280125005 448200008 560250010 1120500020 2241000040