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2204434432 = 21633637
BaseRepresentation
bin1000001101100101…
…0000000000000000
312200122000212112201
42003121100000000
514003313400212
61002424402544
7105425245354
oct20331200000
95618025481
102204434432
11a31389242
12516316454
13291924b95
1416cab3464
15cd7e5b57
hex83650000

2204434432 has 34 divisors (see below), whose sum is σ = 4408966298. Its totient is φ = 1102184448.

The previous prime is 2204434429. The next prime is 2204434447. The reversal of 2204434432 is 2344344022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1396965376 + 807469056 = 37376^2 + 28416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2204434432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48718 + ... + 82354.

Almost surely, 22204434432 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 2204434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204483149).

2204434432 is an abundant number, since it is smaller than the sum of its proper divisors (2204531866).

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

2204434432 is an frugal number, since it uses more digits than its factorization.

2204434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33669 (or 33639 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2204434432 is about 46951.4050056013. The cubic root of 2204434432 is about 1301.4647064958.

Adding to 2204434432 its reverse (2344344022), we get a palindrome (4548778454).

The spelling of 2204434432 in words is "two billion, two hundred four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 33637 65536 67274 134548 269096 538192 1076384 2152768 4305536 8611072 17222144 34444288 68888576 137777152 275554304 551108608 1102217216 2204434432