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222103196640 = 253351317593943
BaseRepresentation
bin1100111011011001100…
…0011101001111100000
3210020021202100102011000
43032312120131033200
512114331404243030
6250011030152000
722021632010353
oct3166630351740
9706252312130
10222103196640
1186214511a66
1237065ab2600
1317c37663960
14aa6d84629a
155b9db89860
hex33b661d3e0

222103196640 has 768 divisors, whose sum is σ = 901655193600. Its totient is φ = 50570625024.

The previous prime is 222103196611. The next prime is 222103196677. The reversal of 222103196640 is 46691301222.

It is a happy number.

222103196640 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 3 + 1 + 9 + 6 + 640 = 666.

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 = 222103196595 and 222103196604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56326509 + ... + 56330451.

It is an arithmetic number, because the mean of its divisors is an integer number (1174030200).

Almost surely, 2222103196640 is an apocalyptic number.

222103196640 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 222103196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450827596800).

222103196640 is an abundant number, since it is smaller than the sum of its proper divisors (679551996960).

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

222103196640 is a wasteful number, since it uses less digits than its factorization.

222103196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 222103196640 its reverse (46691301222), we get a palindrome (268794497862).

The spelling of 222103196640 in words is "two hundred twenty-two billion, one hundred three million, one hundred ninety-six thousand, six hundred forty".