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663231400 = 235213534813
BaseRepresentation
bin100111100010000…
…001101110101000
31201012222122102221
4213202001232220
52324241401100
6145451203424
722302242146
oct4742015650
91635878387
10663231400
11310416627
12166146574
13a7537620
1464126596
153d35d01a
hex27881ba8

663231400 has 96 divisors (see below), whose sum is σ = 1692313560. Its totient is φ = 240215040.

The previous prime is 663231383. The next prime is 663231407. The reversal of 663231400 is 4132366.

It can be written as a sum of positive squares in 12 ways, for example, as 57972996 + 605258404 = 7614^2 + 24602^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (663231407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135394 + ... + 140206.

Almost surely, 2663231400 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 663231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846156780).

663231400 is an abundant number, since it is smaller than the sum of its proper divisors (1029082160).

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

663231400 is a wasteful number, since it uses less digits than its factorization.

663231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 663231400 is about 25753.2794028256. The cubic root of 663231400 is about 872.0773891140.

Adding to 663231400 its reverse (4132366), we get a palindrome (667363766).

The spelling of 663231400 in words is "six hundred sixty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 4813 5300 5512 6890 9626 10600 13780 17225 19252 24065 27560 34450 38504 48130 62569 68900 96260 120325 125138 137800 192520 240650 250276 255089 312845 481300 500552 510178 625690 962600 1020356 1251380 1275445 1564225 2040712 2502760 2550890 3128450 3316157 5101780 6256900 6377225 6632314 10203560 12513800 12754450 13264628 16580785 25508900 26529256 33161570 51017800 66323140 82903925 132646280 165807850 331615700 663231400