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224226640 = 24511254803
BaseRepresentation
bin11010101110101…
…10110101010000
3120121220220010101
431113112311100
5424400223030
634125542144
75361615661
oct1527266520
9517826111
10224226640
1110562a880
1263114954
13375ba4b1
1421acb368
1514a427ca
hexd5d6d50

224226640 has 40 divisors (see below), whose sum is σ = 568722528. Its totient is φ = 81536640.

The previous prime is 224226631. The next prime is 224226671. The reversal of 224226640 is 46622422.

224226640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 224226599 and 224226608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126522 + ... + 128281.

Almost surely, 2224226640 is an apocalyptic number.

224226640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224226640 is an abundant number, since it is smaller than the sum of its proper divisors (344495888).

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

224226640 is a wasteful number, since it uses less digits than its factorization.

224226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254827 (or 254821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 224226640 is about 14974.1991438607. The cubic root of 224226640 is about 607.5225504903.

It can be divided in two parts, 2242 and 26640, that added together give a palindrome (28882).

The spelling of 224226640 in words is "two hundred twenty-four million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 254803 509606 1019212 1274015 2038424 2548030 2802833 4076848 5096060 5605666 10192120 11211332 14014165 20384240 22422664 28028330 44845328 56056660 112113320 224226640