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2229081140 = 225111317192127
BaseRepresentation
bin1000010011011101…
…0001010000110100
312202100102001110202
42010313101100310
514031121044030
61005104540032
7106144606556
oct20467212064
95670361422
102229081140
11a44292720
12522621618
13296a74330
1417208b4d6
15d0a63745
hex84dd1434

2229081140 has 288 divisors, whose sum is σ = 6193926144. Its totient is φ = 661893120.

The previous prime is 2229081119. The next prime is 2229081149. The reversal of 2229081140 is 411809222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229081149) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17551757 + ... + 17551883.

It is an arithmetic number, because the mean of its divisors is an integer number (21506688).

Almost surely, 22229081140 is an apocalyptic number.

2229081140 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 2229081140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096963072).

2229081140 is an abundant number, since it is smaller than the sum of its proper divisors (3964845004).

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

2229081140 is a wasteful number, since it uses less digits than its factorization.

2229081140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2229081140 is about 47213.1458388445. The cubic root of 2229081140 is about 1306.2970892115.

The spelling of 2229081140 in words is "two billion, two hundred twenty-nine million, eighty-one thousand, one hundred forty".