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224120340 = 223251245113
BaseRepresentation
bin11010101101111…
…00111000010100
3120121201111022100
431112330320110
5424333322330
634123402100
75360664033
oct1526747024
9517644270
10224120340
11105567a24
1263083330
1337580cb2
1421aa071a
1514a21060
hexd5bce14

224120340 has 36 divisors (see below), whose sum is σ = 679832244. Its totient is φ = 59765376.

The previous prime is 224120311. The next prime is 224120353. The reversal of 224120340 is 43021422.

It can be written as a sum of positive squares in 2 ways, for example, as 99440784 + 124679556 = 9972^2 + 11166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622377 + ... + 622736.

It is an arithmetic number, because the mean of its divisors is an integer number (18884229).

Almost surely, 2224120340 is an apocalyptic number.

224120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224120340 is an abundant number, since it is smaller than the sum of its proper divisors (455711904).

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

224120340 is a wasteful number, since it uses less digits than its factorization.

224120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245128 (or 1245123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224120340 is about 14970.6492845167. The cubic root of 224120340 is about 607.4265317851.

Adding to 224120340 its reverse (43021422), we get a palindrome (267141762).

The spelling of 224120340 in words is "two hundred twenty-four million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1245113 2490226 3735339 4980452 6225565 7470678 11206017 12451130 14941356 18676695 22412034 24902260 37353390 44824068 56030085 74706780 112060170 224120340