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224055020 = 22571600393
BaseRepresentation
bin11010101101011…
…00111011101100
3120121121011201002
431112230323230
5424324230040
634122135432
75360302430
oct1526547354
9517534632
10224055020
11105522942
1263051578
133755a347
1421a849c0
1514a0ba15
hexd5aceec

224055020 has 24 divisors (see below), whose sum is σ = 537732384. Its totient is φ = 76818816.

The previous prime is 224054993. The next prime is 224055023. The reversal of 224055020 is 20550422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224054983 and 224055001.

It is not an unprimeable number, because it can be changed into a prime (224055023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800057 + ... + 800336.

It is an arithmetic number, because the mean of its divisors is an integer number (22405516).

Almost surely, 2224055020 is an apocalyptic number.

224055020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224055020 is an abundant number, since it is smaller than the sum of its proper divisors (313677364).

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

224055020 is a wasteful number, since it uses less digits than its factorization.

224055020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600409 (or 1600407 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 224055020 is about 14968.4675234307. The cubic root of 224055020 is about 607.3675144489.

The spelling of 224055020 in words is "two hundred twenty-four million, fifty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1600393 3200786 6401572 8001965 11202751 16003930 22405502 32007860 44811004 56013755 112027510 224055020