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482223400 = 23527333029
BaseRepresentation
bin11100101111100…
…010010100101000
31020121101111010221
4130233202110220
51441422122100
6115503415424
714643555061
oct3457422450
91217344127
10482223400
1122822563a
121155b4574
1378b9c9b9
1448089568
152c50601a
hex1cbe2528

482223400 has 48 divisors (see below), whose sum is σ = 1136562300. Its totient is φ = 190241280.

The previous prime is 482223353. The next prime is 482223463. The reversal of 482223400 is 4322284.

It can be written as a sum of positive squares in 6 ways, for example, as 41139396 + 441084004 = 6414^2 + 21002^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1915 + ... + 31114.

Almost surely, 2482223400 is an apocalyptic number.

482223400 is a gapful number since it is divisible by the number (40) 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 482223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568281150).

482223400 is an abundant number, since it is smaller than the sum of its proper divisors (654338900).

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

482223400 is a wasteful number, since it uses less digits than its factorization.

482223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33118 (or 33109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 482223400 is about 21959.5856062905. The cubic root of 482223400 is about 784.1805992734.

Adding to 482223400 its reverse (4322284), we get a palindrome (486545684).

The spelling of 482223400 in words is "four hundred eighty-two million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 33029 66058 132116 165145 264232 330290 660580 825725 1321160 1651450 2411117 3302900 4822234 6605800 9644468 12055585 19288936 24111170 48222340 60277925 96444680 120555850 241111700 482223400