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2201042432 = 2910341737
BaseRepresentation
bin1000001100110001…
…0011111000000000
312200101122112121002
42003030103320000
514001431324212
61002223551132
7105354360221
oct20314237000
95611575532
102201042432
11a2a481836
1251515b4a8
13291007c94
1416c46d248
15cd375ac2
hex83313e00

2201042432 has 40 divisors (see below), whose sum is σ = 4440589296. Its totient is φ = 1089810432.

The previous prime is 2201042429. The next prime is 2201042449. The reversal of 2201042432 is 2342401022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31868 + ... + 73604.

Almost surely, 22201042432 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 2201042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220294648).

2201042432 is an abundant number, since it is smaller than the sum of its proper divisors (2239546864).

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

2201042432 is an equidigital number, since it uses as much as digits as its factorization.

2201042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41858 (or 41842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2201042432 is about 46915.2686446534. The cubic root of 2201042432 is about 1300.7968353456.

Adding to 2201042432 its reverse (2342401022), we get a palindrome (4543443454).

The spelling of 2201042432 in words is "two billion, two hundred one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1648 3296 6592 13184 26368 41737 52736 83474 166948 333896 667792 1335584 2671168 4298911 5342336 8597822 10684672 17195644 21369344 34391288 68782576 137565152 275130304 550260608 1100521216 2201042432