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2229363136 = 2671113172389
BaseRepresentation
bin1000010011100001…
…0110000111000000
312202100221101022001
42010320112013000
514031204110021
61005114553344
7106150162660
oct20470260700
95670841261
102229363136
11a44465580
12522738854
13296b427b0
141721221a0
15d0abc091
hex84e161c0

2229363136 has 448 divisors, whose sum is σ = 6636349440. Its totient is φ = 713687040.

The previous prime is 2229363127. The next prime is 2229363161. The reversal of 2229363136 is 6313639222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (69984) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2229363095 and 2229363104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25048980 + ... + 25049068.

It is an arithmetic number, because the mean of its divisors is an integer number (14813280).

Almost surely, 22229363136 is an apocalyptic number.

2229363136 is a gapful number since it is divisible by the number (26) 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 2229363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

2229363136 is an abundant number, since it is smaller than the sum of its proper divisors (4406986304).

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

2229363136 is a wasteful number, since it uses less digits than its factorization.

2229363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 2229363136 is about 47216.1321584054. The cubic root of 2229363136 is about 1306.3521724496.

The spelling of 2229363136 in words is "two billion, two hundred twenty-nine million, three hundred sixty-three thousand, one hundred thirty-six".