Search a number
-
+
224041428 = 223213487983
BaseRepresentation
bin11010101101010…
…01100111010100
3120121120111001200
431112221213110
5424323311203
634121552500
75360215002
oct1526514724
9517514050
10224041428
11105513706
1263045730
13375540c0
1421a7da72
1514a079a3
hexd5a99d4

224041428 has 72 divisors (see below), whose sum is σ = 611764608. Its totient is φ = 68724288.

The previous prime is 224041427. The next prime is 224041429. The reversal of 224041428 is 824140422.

224041428 is a `hidden beast` number, since 2 + 240 + 414 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (224041427) and next prime (224041429).

It is a super-2 number, since 2×2240414282 = 100389122920558368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224041421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227425 + ... + 228407.

Almost surely, 2224041428 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 224041428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305882304).

224041428 is an abundant number, since it is smaller than the sum of its proper divisors (387723180).

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

224041428 is a wasteful number, since it uses less digits than its factorization.

224041428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 224041428 is about 14968.0134954509. The cubic root of 224041428 is about 607.3552324862.

It can be divided in two parts, 22404 and 1428, that added together give a palindrome (23832).

The spelling of 224041428 in words is "two hundred twenty-four million, forty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 487 974 983 1461 1948 1966 2922 2949 3932 4383 5844 5898 6331 8766 8847 11796 12662 12779 17532 17694 18993 25324 25558 35388 37986 38337 51116 56979 75972 76674 113958 115011 153348 227916 230022 460044 478721 957442 1436163 1914884 2872326 4308489 5744652 6223373 8616978 12446746 17233956 18670119 24893492 37340238 56010357 74680476 112020714 224041428