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224433220 = 2251138431
BaseRepresentation
bin11010110000010…
…01010001000100
3120122022101111111
431120021101010
5424423330340
634134214404
75363436154
oct1530112104
9518271444
10224433220
11105761000
12631b4404
133766052b
1421b42764
1514a83aea
hexd609444

224433220 has 48 divisors (see below), whose sum is σ = 518466816. Its totient is φ = 81602400.

The previous prime is 224433203. The next prime is 224433229. The reversal of 224433220 is 22334422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 224433191 and 224433200.

It is not an unprimeable number, because it can be changed into a prime (224433229) 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, 22405 + ... + 30835.

It is an arithmetic number, because the mean of its divisors is an integer number (10801392).

Almost surely, 2224433220 is an apocalyptic number.

224433220 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 224433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259233408).

224433220 is an abundant number, since it is smaller than the sum of its proper divisors (294033596).

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

224433220 is a wasteful number, since it uses less digits than its factorization.

224433220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 224433220 is about 14981.0954205625. The cubic root of 224433220 is about 607.7090633961.

Adding to 224433220 its reverse (22334422), we get a palindrome (246767642).

The spelling of 224433220 in words is "two hundred twenty-four million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 8431 13310 16862 26620 33724 42155 84310 92741 168620 185482 370964 463705 927410 1020151 1854820 2040302 4080604 5100755 10201510 11221661 20403020 22443322 44886644 56108305 112216610 224433220