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204422432 = 2531251821
BaseRepresentation
bin11000010111100…
…11110100100000
3112020122201212012
430023303310200
5404313004212
632141252052
75031363524
oct1413636440
9466581765
10204422432
11a5433665
1258564028
1333475226
141d213d84
1512e2e922
hexc2f3d20

204422432 has 48 divisors (see below), whose sum is σ = 417602304. Its totient is φ = 98400000.

The previous prime is 204422429. The next prime is 204422437. The reversal of 204422432 is 234224402.

It is a junction number, because it is equal to n+sod(n) for n = 204422398 and 204422407.

It is not an unprimeable number, because it can be changed into a prime (204422437) 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 7 ways as a sum of consecutive naturals, for example, 248582 + ... + 249402.

It is an arithmetic number, because the mean of its divisors is an integer number (8700048).

Almost surely, 2204422432 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 204422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208801152).

204422432 is an abundant number, since it is smaller than the sum of its proper divisors (213179872).

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

204422432 is a wasteful number, since it uses less digits than its factorization.

204422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 204422432 is about 14297.6372873283. The cubic root of 204422432 is about 589.0825845540.

Adding to 204422432 its reverse (234224402), we get a palindrome (438646834).

The spelling of 204422432 in words is "two hundred four million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 251 496 502 821 992 1004 1642 2008 3284 4016 6568 7781 8032 13136 15562 25451 26272 31124 50902 62248 101804 124496 203608 206071 248992 407216 412142 814432 824284 1648568 3297136 6388201 6594272 12776402 25552804 51105608 102211216 204422432