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224001141 = 37131395903
BaseRepresentation
bin11010101100111…
…11110001110101
3120121111102210120
431112133301311
5424321014031
634121042153
75356656360
oct1526376165
9517442716
10224001141
11105496411
1263026359
133753b970
1421a6d0d7
15149eaa96
hexd59fc75

224001141 has 32 divisors (see below), whose sum is σ = 370298880. Its totient is φ = 117284544.

The previous prime is 224001139. The next prime is 224001149. The reversal of 224001141 is 141100422.

It is not a de Polignac number, because 224001141 - 21 = 224001139 is a prime.

It is a super-2 number, since 2×2240011412 = 100353022338603762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224001141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224001149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34996 + ... + 40898.

It is an arithmetic number, because the mean of its divisors is an integer number (11571840).

Almost surely, 2224001141 is an apocalyptic number.

224001141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224001141 is a deficient number, since it is larger than the sum of its proper divisors (146297739).

224001141 is a wasteful number, since it uses less digits than its factorization.

224001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224001141 is about 14966.6676651819. The cubic root of 224001141 is about 607.3188255484.

Adding to 224001141 its reverse (141100422), we get a palindrome (365101563).

The spelling of 224001141 in words is "two hundred twenty-four million, one thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 91 139 273 417 973 1807 2919 5421 5903 12649 17709 37947 41321 76739 123963 230217 537173 820517 1611519 2461551 5743619 10666721 17230857 32000163 74667047 224001141