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224000140 = 225713123077
BaseRepresentation
bin11010101100111…
…11100010001100
3120121111101102111
431112133202030
5424321001030
634121033404
75356653430
oct1526374214
9517441374
10224000140
11105495691
1263025864
133753b380
1421a6c9c0
15149ea62a
hexd59f88c

224000140 has 48 divisors (see below), whose sum is σ = 578958912. Its totient is φ = 70891776.

The previous prime is 224000137. The next prime is 224000159. The reversal of 224000140 is 41000422.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 224000140.

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, 59719 + ... + 63358.

It is an arithmetic number, because the mean of its divisors is an integer number (12061644).

Almost surely, 2224000140 is an apocalyptic number.

224000140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000140 is an abundant number, since it is smaller than the sum of its proper divisors (354958772).

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

224000140 is a wasteful number, since it uses less digits than its factorization.

224000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123106 (or 123104 counting only the distinct ones).

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

The square root of 224000140 is about 14966.6342241668. The cubic root of 224000140 is about 607.3179208996.

Adding to 224000140 its reverse (41000422), we get a palindrome (265000562).

It can be divided in two parts, 224000 and 140, that multiplied together give a square (31360000 = 56002).

The spelling of 224000140 in words is "two hundred twenty-four million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 123077 246154 492308 615385 861539 1230770 1600001 1723078 2461540 3200002 3446156 4307695 6400004 8000005 8615390 11200007 16000010 17230780 22400014 32000020 44800028 56000035 112000070 224000140