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2723403228 = 22371321923439
BaseRepresentation
bin1010001001010011…
…1101010111011100
321000210120012220020
42202110331113130
521034142400403
61130123552140
7124326355050
oct24224752734
97023505806
102723403228
111178321177
1264008b650
133452bbc00
141bb9a5c60
1510e159453
hexa253d5dc

2723403228 has 288 divisors, whose sum is σ = 8657510400. Its totient is φ = 649389312.

The previous prime is 2723403223. The next prime is 2723403257. The reversal of 2723403228 is 8223043272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723403223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6203433 + ... + 6203871.

It is an arithmetic number, because the mean of its divisors is an integer number (30060800).

Almost surely, 22723403228 is an apocalyptic number.

2723403228 is a gapful number since it is divisible by the number (28) 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 2723403228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328755200).

2723403228 is an abundant number, since it is smaller than the sum of its proper divisors (5934107172).

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

2723403228 is a wasteful number, since it uses less digits than its factorization.

2723403228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2723403228 is about 52186.2360014592. The cubic root of 2723403228 is about 1396.4883466199.

The spelling of 2723403228 in words is "two billion, seven hundred twenty-three million, four hundred three thousand, two hundred twenty-eight".