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2274726720 = 26357734637
BaseRepresentation
bin1000011110010101…
…1001001101000000
312212112022002102210
42013211121031000
514124312223340
61013415142120
7110240600220
oct20745311500
95775262383
102274726720
11a68029942
12535974940
132a3366756
14178170080
15d4a7d180
hex87959340

2274726720 has 224 divisors, whose sum is σ = 8368881408. Its totient is φ = 512704512.

The previous prime is 2274726709. The next prime is 2274726733. The reversal of 2274726720 is 276274722.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 488242 + ... + 492878.

Almost surely, 22274726720 is an apocalyptic number.

2274726720 is a gapful number since it is divisible by the number (20) 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 2274726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184440704).

2274726720 is an abundant number, since it is smaller than the sum of its proper divisors (6094154688).

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

2274726720 is a wasteful number, since it uses less digits than its factorization.

2274726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 2274726720 is about 47694.0952320096. The cubic root of 2274726720 is about 1315.1533928346.

The spelling of 2274726720 in words is "two billion, two hundred seventy-four million, seven hundred twenty-six thousand, seven hundred twenty".