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224420004 = 22332637901
BaseRepresentation
bin11010110000001…
…10000010100100
3120122021201101000
431120012002210
5424422420004
634134033300
75363352504
oct1530060244
9518251330
10224420004
11105752086
12631a8830
1337657503
1421b3ba04
1514a7ec39
hexd6060a4

224420004 has 48 divisors (see below), whose sum is σ = 584115840. Its totient is φ = 74512800.

The previous prime is 224419973. The next prime is 224420029. The reversal of 224420004 is 400024422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24454 + ... + 32354.

It is an arithmetic number, because the mean of its divisors is an integer number (12169080).

Almost surely, 2224420004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292057920).

224420004 is an abundant number, since it is smaller than the sum of its proper divisors (359695836).

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

224420004 is a wasteful number, since it uses less digits than its factorization.

224420004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224420004 is about 14980.6543248284. The cubic root of 224420004 is about 607.6971346204.

Adding to 224420004 its reverse (400024422), we get a palindrome (624444426).

The spelling of 224420004 in words is "two hundred twenty-four million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 4734 7101 7901 9468 14202 15802 23703 28404 31604 47406 71109 94812 142218 213327 284436 426654 853308 2077963 4155926 6233889 8311852 12467778 18701667 24935556 37403334 56105001 74806668 112210002 224420004