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1140223304220 = 22357111337513101
BaseRepresentation
bin10000100101111010100…
…110101110001000011100
311001000010010022100000220
4100211322212232020130
5122140134131213340
62231451130321340
7145243540113030
oct20457246561034
94030103270026
101140223304220
113aa625369880
12164b96589250
13836a41b41c0
143d2895a21c0
151e9d6d96ed0
hex1097a9ae21c

1140223304220 has 384 divisors, whose sum is σ = 4402464417792. Its totient is φ = 212792832000.

The previous prime is 1140223304203. The next prime is 1140223304239. The reversal of 1140223304220 is 224033220411.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 1965670 + ... + 2478770.

It is an arithmetic number, because the mean of its divisors is an integer number (11464751088).

Almost surely, 21140223304220 is an apocalyptic number.

1140223304220 is a gapful number since it is divisible by the number (10) 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 1140223304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201232208896).

1140223304220 is an abundant number, since it is smaller than the sum of its proper divisors (3262241113572).

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

1140223304220 is a wasteful number, since it uses less digits than its factorization.

1140223304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513181 (or 513179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1140223304220 its reverse (224033220411), we get a palindrome (1364256524631).

The spelling of 1140223304220 in words is "one trillion, one hundred forty billion, two hundred twenty-three million, three hundred four thousand, two hundred twenty".