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2225116278 = 2337112353439
BaseRepresentation
bin1000010010100000…
…1001010001110110
312202001221121201000
42010220021101312
514024112210103
61004443544130
7106066114320
oct20450112166
95661847630
102225116278
11a42024880
1252122b046
13295cb6768
14171738610
15d052daa3
hex84a09476

2225116278 has 256 divisors, whose sum is σ = 6569164800. Its totient is φ = 541157760.

The previous prime is 2225116273. The next prime is 2225116279. The reversal of 2225116278 is 8726115222.

It is a happy number.

2225116278 is a `hidden beast` number, since 2 + 2 + 25 + 1 + 1 + 627 + 8 = 666.

It is a super-2 number, since 2×22251162782 = 9902284901241146568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225116273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5068383 + ... + 5068821.

It is an arithmetic number, because the mean of its divisors is an integer number (25660800).

Almost surely, 22225116278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225116278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284582400).

2225116278 is an abundant number, since it is smaller than the sum of its proper divisors (4344048522).

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

2225116278 is a wasteful number, since it uses less digits than its factorization.

2225116278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2225116278 is about 47171.1381885152. The cubic root of 2225116278 is about 1305.5221269142.

The spelling of 2225116278 in words is "two billion, two hundred twenty-five million, one hundred sixteen thousand, two hundred seventy-eight".