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663225024 = 263711113397
BaseRepresentation
bin100111100010000…
…000001011000000
31201012222022200210
4213202000023000
52324241200044
6145451114120
722302214440
oct4742001300
91635868623
10663225024
11310411860
12166142940
13a7534757
1464124120
153d35b1b9
hex278802c0

663225024 has 224 divisors, whose sum is σ = 2212701696. Its totient is φ = 170311680.

The previous prime is 663224981. The next prime is 663225047. The reversal of 663225024 is 420522366.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 663224982 and 663225000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670394 + ... + 1670790.

Almost surely, 2663225024 is an apocalyptic number.

663225024 is a gapful number since it is divisible by the number (64) 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 663225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106350848).

663225024 is an abundant number, since it is smaller than the sum of its proper divisors (1549476672).

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

663225024 is a wasteful number, since it uses less digits than its factorization.

663225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 663225024 is about 25753.1556124682. The cubic root of 663225024 is about 872.0745945221.

The spelling of 663225024 in words is "six hundred sixty-three million, two hundred twenty-five thousand, twenty-four".