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424000224 = 2533490741
BaseRepresentation
bin11001010001011…
…011101011100000
31002112211102222000
4121101123223200
51332021001344
6110023444000
713335641154
oct3121335340
91075742860
10424000224
111a837870a
12b9bb6600
1369ac570b
1440451064
1527354a69
hex1945bae0

424000224 has 48 divisors (see below), whose sum is σ = 1236669840. Its totient is φ = 141333120.

The previous prime is 424000223. The next prime is 424000231. The reversal of 424000224 is 422000424.

424000224 is a `hidden beast` number, since 42 + 400 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 424000197 and 424000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244507 + ... + 246234.

It is an arithmetic number, because the mean of its divisors is an integer number (25763955).

Almost surely, 2424000224 is an apocalyptic number.

It is an amenable number.

424000224 is an abundant number, since it is smaller than the sum of its proper divisors (812669616).

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

424000224 is a wasteful number, since it uses less digits than its factorization.

424000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490760 (or 490746 counting only the distinct ones).

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

The square root of 424000224 is about 20591.2657211741. The cubic root of 424000224 is about 751.2572831410.

Adding to 424000224 its reverse (422000424), we get a palindrome (846000648).

The spelling of 424000224 in words is "four hundred twenty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 490741 981482 1472223 1962964 2944446 3925928 4416669 5888892 7851856 8833338 11777784 13250007 15703712 17666676 23555568 26500014 35333352 47111136 53000028 70666704 106000056 141333408 212000112 424000224