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2201435140 = 225415945503
BaseRepresentation
bin1000001100110111…
…0011110000000100
312200102101111021211
42003031303300010
514002031411030
61002240221204
7105360614152
oct20315636004
95612344254
102201435140
11a2a71a893
1251530a804
13291114958
1416c5323d2
15cd40212a
hex83373c04

2201435140 has 48 divisors (see below), whose sum is σ = 4816143360. Its totient is φ = 844517120.

The previous prime is 2201435129. The next prime is 2201435141. The reversal of 2201435140 is 415341022.

It is not an unprimeable number, because it can be changed into a prime (2201435141) by changing a digit.

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, 25629 + ... + 71131.

It is an arithmetic number, because the mean of its divisors is an integer number (100336320).

Almost surely, 22201435140 is an apocalyptic number.

2201435140 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 2201435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408071680).

2201435140 is an abundant number, since it is smaller than the sum of its proper divisors (2614708220).

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

2201435140 is a wasteful number, since it uses less digits than its factorization.

2201435140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45612 (or 45610 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2201435140 is about 46919.4537478859. The cubic root of 2201435140 is about 1300.8741930768.

Adding to 2201435140 its reverse (415341022), we get a palindrome (2616776162).

The spelling of 2201435140 in words is "two billion, two hundred one million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 45503 48380 91006 182012 227515 455030 910060 1865623 2684677 3731246 5369354 7462492 9328115 10738708 13423385 18656230 26846770 37312460 53693540 110071757 220143514 440287028 550358785 1100717570 2201435140