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224066402640 = 2432519371492971
BaseRepresentation
bin1101000010101101100…
…1011111100101010000
3210102100120110121111100
43100223121133211100
512132341444341030
6250533520344400
722121400666123
oct3205331374520
9712316417440
10224066402640
1187031708763
1237513475100
131818b2c7802
14abb84843ba
155c661d0360
hex342b65f950

224066402640 has 480 divisors, whose sum is σ = 819237744000. Its totient is φ = 54688296960.

The previous prime is 224066402627. The next prime is 224066402683. The reversal of 224066402640 is 46204660422.

224066402640 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 6 + 6 + 4 + 0 + 2 + 640 = 666.

224066402640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 224066402595 and 224066402604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75416355 + ... + 75419325.

It is an arithmetic number, because the mean of its divisors is an integer number (1706745300).

Almost surely, 2224066402640 is an apocalyptic number.

224066402640 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 224066402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409618872000).

224066402640 is an abundant number, since it is smaller than the sum of its proper divisors (595171341360).

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

224066402640 is a wasteful number, since it uses less digits than its factorization.

224066402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 224066402640 in words is "two hundred twenty-four billion, sixty-six million, four hundred two thousand, six hundred forty".