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1320200224 = 25731190121
BaseRepresentation
bin100111010110000…
…1010100000100000
310102000012010020121
41032230022200200
510200432401344
6335000250024
744500342150
oct11654124040
93360163217
101320200224
11618244a72
1230a170914
1318068b585
14c749c760
157ad80684
hex4eb0a820

1320200224 has 48 divisors (see below), whose sum is σ = 3066287616. Its totient is φ = 547545600.

The previous prime is 1320200221. The next prime is 1320200243. The reversal of 1320200224 is 4220020231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1320200198 and 1320200207.

It is not an unprimeable number, because it can be changed into a prime (1320200221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88117 + ... + 102004.

It is an arithmetic number, because the mean of its divisors is an integer number (63880992).

Almost surely, 21320200224 is an apocalyptic number.

1320200224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1320200224 is an abundant number, since it is smaller than the sum of its proper divisors (1746087392).

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

1320200224 is a wasteful number, since it uses less digits than its factorization.

1320200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190169 (or 190161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1320200224 is about 36334.5596367976. The cubic root of 1320200224 is about 1097.0167718191.

Adding to 1320200224 its reverse (4220020231), we get a palindrome (5540220455).

The spelling of 1320200224 in words is "one billion, three hundred twenty million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 190121 380242 760484 1330847 1520968 2661694 3041936 5323388 5893751 6083872 10646776 11787502 21293552 23575004 41256257 42587104 47150008 82512514 94300016 165025028 188600032 330050056 660100112 1320200224