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664224 = 253111737
BaseRepresentation
bin10100010001010100000
31020202010220
42202022200
5132223344
622123040
75434341
oct2421240
91222126
10664224
11414050
12280480
131a3442
141340c8
15d1c19
hexa22a0

664224 has 96 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 184320.

The previous prime is 664211. The next prime is 664243. The reversal of 664224 is 422466.

664224 = T271 + T272 + ... + T287.

It is a Cunningham number, because it is equal to 8152-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 664194 and 664203.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 664224.

It is an unprimeable number.

664224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17934 + ... + 17970.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2664224 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 664224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

664224 is an abundant number, since it is smaller than the sum of its proper divisors (1404192).

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

664224 is a wasteful number, since it uses less digits than its factorization.

664224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 664224 is about 814.9993865028. Note that the first 3 decimals coincide. The cubic root of 664224 is about 87.2512226056.

It can be divided in two parts, 6642 and 24, that added together give a palindrome (6666).

The spelling of 664224 in words is "six hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 37 44 48 51 66 68 74 88 96 102 111 132 136 148 176 187 204 222 264 272 296 352 374 407 408 444 528 544 561 592 629 748 814 816 888 1056 1122 1184 1221 1258 1496 1628 1632 1776 1887 2244 2442 2516 2992 3256 3552 3774 4488 4884 5032 5984 6512 6919 7548 8976 9768 10064 13024 13838 15096 17952 19536 20128 20757 27676 30192 39072 41514 55352 60384 83028 110704 166056 221408 332112 664224