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2254302006 = 23111911091621
BaseRepresentation
bin1000011001011101…
…1110101100110110
312211002212101222220
42012113132230312
514104100131011
61011405303210
7106602152025
oct20627365466
95732771886
102254302006
11a57549510
1252ab64b06
1329c064c18
141755748bc
15d2d96506
hex865deb36

2254302006 has 64 divisors (see below), whose sum is σ = 5185209600. Its totient is φ = 646185600.

The previous prime is 2254301999. The next prime is 2254302007. The reversal of 2254302006 is 6002034522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254302007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389876 + ... + 1391496.

It is an arithmetic number, because the mean of its divisors is an integer number (81018900).

Almost surely, 22254302006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254302006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592604800).

2254302006 is an abundant number, since it is smaller than the sum of its proper divisors (2930907594).

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

2254302006 is a wasteful number, since it uses less digits than its factorization.

2254302006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2254302006 is about 47479.4903721596. The cubic root of 2254302006 is about 1311.2053094923.

Adding to 2254302006 its reverse (6002034522), we get a palindrome (8256336528).

The spelling of 2254302006 in words is "two billion, two hundred fifty-four million, three hundred two thousand, six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1109 1254 1621 2218 3242 3327 4863 6654 9726 12199 17831 21071 24398 30799 35662 36597 42142 53493 61598 63213 73194 92397 106986 126426 184794 231781 338789 463562 677578 695343 1016367 1390686 1797689 2032734 3595378 5393067 10786134 19774579 34156091 39549158 59323737 68312182 102468273 118647474 204936546 375717001 751434002 1127151003 2254302006