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224061520 = 2452800769
BaseRepresentation
bin11010101101011…
…10100001010000
3120121121111121211
431112232201100
5424324432040
634122225504
75360330404
oct1526564120
9517544554
10224061520
11105527811
1263055294
13375602a7
1421a87104
1514a0d8ea
hexd5ae850

224061520 has 20 divisors (see below), whose sum is σ = 520943220. Its totient is φ = 89624576.

The previous prime is 224061499. The next prime is 224061577. The reversal of 224061520 is 25160422.

It can be written as a sum of positive squares in 2 ways, for example, as 54228496 + 169833024 = 7364^2 + 13032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 224061491 and 224061500.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1400305 + ... + 1400464.

It is an arithmetic number, because the mean of its divisors is an integer number (26047161).

Almost surely, 2224061520 is an apocalyptic number.

224061520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224061520 is an abundant number, since it is smaller than the sum of its proper divisors (296881700).

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

224061520 is a wasteful number, since it uses less digits than its factorization.

224061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800782 (or 2800776 counting only the distinct ones).

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

The square root of 224061520 is about 14968.6846449513. The cubic root of 224061520 is about 607.3733877841.

The spelling of 224061520 in words is "two hundred twenty-four million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2800769 5601538 11203076 14003845 22406152 28007690 44812304 56015380 112030760 224061520