Search a number
-
+
19243224 = 23337111389
BaseRepresentation
bin100100101101…
…0000011011000
31100012122202000
41021122003120
514411240344
61524241000
7322364460
oct111320330
940178660
1019243224
11a9537a0
126540160
133ca9b30
1427acba0
151a51a69
hex125a0d8

19243224 has 256 divisors, whose sum is σ = 72576000. Its totient is φ = 4561920.

The previous prime is 19243207. The next prime is 19243241. The reversal of 19243224 is 42234291.

It is an interprime number because it is at equal distance from previous prime (19243207) and next prime (19243241).

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 63 ways as a sum of consecutive naturals, for example, 216172 + ... + 216260.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 219243224 is an apocalyptic number.

19243224 is a gapful number since it is divisible by the number (14) 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 19243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

19243224 is an abundant number, since it is smaller than the sum of its proper divisors (53332776).

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

19243224 is a wasteful number, since it uses less digits than its factorization.

19243224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 19243224 is about 4386.7099288647. The cubic root of 19243224 is about 267.9739708885.

The spelling of 19243224 in words is "nineteen million, two hundred forty-three thousand, two hundred twenty-four".