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2225677104 = 2432747109431
BaseRepresentation
bin1000010010101001…
…0010001100110000
312202010000010000100
42010222102030300
514024233131404
61004503552400
7106103641350
oct20452221460
95663003010
102225677104
11a42378172
1252145b700
13296151b01
14171842b60
15d05ded39
hex84a92330

2225677104 has 240 divisors, whose sum is σ = 7353815040. Its totient is φ = 615237120.

The previous prime is 2225677099. The next prime is 2225677109. The reversal of 2225677104 is 4017765222.

It is a happy number.

2225677104 is a `hidden beast` number, since 2 + 22 + 567 + 71 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2225677099) and next prime (2225677109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2225677109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5163769 + ... + 5164199.

It is an arithmetic number, because the mean of its divisors is an integer number (30640896).

Almost surely, 22225677104 is an apocalyptic number.

2225677104 is a gapful number since it is divisible by the number (24) 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 2225677104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

2225677104 is an abundant number, since it is smaller than the sum of its proper divisors (5128137936).

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

2225677104 is a wasteful number, since it uses less digits than its factorization.

2225677104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2225677104 is about 47177.0824023699. The cubic root of 2225677104 is about 1305.6318004707.

The spelling of 2225677104 in words is "two billion, two hundred twenty-five million, six hundred seventy-seven thousand, one hundred four".