Search a number
-
+
224423136 = 2535721931
BaseRepresentation
bin11010110000001…
…10110011100000
3120122021212200000
431120012303200
5424423020021
634134100000
75363364600
oct1530066340
9518255600
10224423136
11105754473
12631aa600
1337658a72
1421b3cc00
1514a80b26
hexd606ce0

224423136 has 432 divisors, whose sum is σ = 836559360. Its totient is φ = 58786560.

The previous prime is 224423123. The next prime is 224423153. The reversal of 224423136 is 631324422.

224423136 is a `hidden beast` number, since 224 + 423 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239441 + ... + 7239471.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2224423136 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 224423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

224423136 is an abundant number, since it is smaller than the sum of its proper divisors (612136224).

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

224423136 is a wasteful number, since it uses less digits than its factorization.

224423136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 224423136 is about 14980.7588592835. The cubic root of 224423136 is about 607.6999616093.

Adding to 224423136 its reverse (631324422), we get a palindrome (855747558).

The spelling of 224423136 in words is "two hundred twenty-four million, four hundred twenty-three thousand, one hundred thirty-six".