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2201441540 = 2253710727803
BaseRepresentation
bin1000001100110111…
…0101010100000100
312200102101211001212
42003031311110010
514002032112130
61002240310552
7105360641624
oct20315652404
95612354055
102201441540
11a2a724681
12515312458
1329111783c
1416c534884
15cd403e95
hex83375504

2201441540 has 48 divisors (see below), whose sum is σ = 4792519872. Its totient is φ = 848739456.

The previous prime is 2201441519. The next prime is 2201441581. The reversal of 2201441540 is 451441022.

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 15 ways as a sum of consecutive naturals, for example, 65279 + ... + 93081.

It is an arithmetic number, because the mean of its divisors is an integer number (99844164).

Almost surely, 22201441540 is an apocalyptic number.

2201441540 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 2201441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396259936).

2201441540 is an abundant number, since it is smaller than the sum of its proper divisors (2591078332).

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

2201441540 is a wasteful number, since it uses less digits than its factorization.

2201441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956 (or 27954 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2201441540 is about 46919.5219498238. The cubic root of 2201441540 is about 1300.8754537069.

Adding to 2201441540 its reverse (451441022), we get a palindrome (2652882562).

The spelling of 2201441540 in words is "two billion, two hundred one million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 107 148 185 214 370 428 535 740 1070 2140 3959 7918 15836 19795 27803 39590 55606 79180 111212 139015 278030 556060 1028711 2057422 2974921 4114844 5143555 5949842 10287110 11899684 14874605 20574220 29749210 59498420 110072077 220144154 440288308 550360385 1100720770 2201441540