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224574220 = 225134121067
BaseRepresentation
bin11010110001010…
…11101100001100
3120122120112220201
431120223230030
5424442333340
634141223244
75364564223
oct1530535414
9518515821
10224574220
11105847a32
1263261b24
13376ac770
1421b7bcba
1514ab079a
hexd62bb0c

224574220 has 48 divisors (see below), whose sum is σ = 520295328. Its totient is φ = 80893440.

The previous prime is 224574211. The next prime is 224574223. The reversal of 224574220 is 22475422.

224574220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224574223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127 + ... + 21193.

It is an arithmetic number, because the mean of its divisors is an integer number (10839486).

Almost surely, 2224574220 is an apocalyptic number.

224574220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224574220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260147664).

224574220 is an abundant number, since it is smaller than the sum of its proper divisors (295721108).

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

224574220 is a wasteful number, since it uses less digits than its factorization.

224574220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21130 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 224574220 is about 14985.8006125799. The cubic root of 224574220 is about 607.8363010067.

The spelling of 224574220 in words is "two hundred twenty-four million, five hundred seventy-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 21067 42134 84268 105335 210670 273871 421340 547742 863747 1095484 1369355 1727494 2738710 3454988 4318735 5477420 8637470 11228711 17274940 22457422 44914844 56143555 112287110 224574220