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1220307319 = 721119119159
BaseRepresentation
bin100100010111100…
…0110100101110111
310011001020000221101
41020233012211313
54444344313234
6321031230531
742145304200
oct11057064567
93131200841
101220307319
11576916a50
122a0818447
13165a8474a
14b80d85a7
15721ec814
hex48bc6977

1220307319 has 24 divisors (see below), whose sum is σ = 1630108800. Its totient is φ = 900834480.

The previous prime is 1220307217. The next prime is 1220307331. The reversal of 1220307319 is 9137030221.

It is not a de Polignac number, because 1220307319 - 29 = 1220306807 is a prime.

It is a super-2 number, since 2×12203073192 = 2978299905609935522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220307119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49339 + ... + 69820.

It is an arithmetic number, because the mean of its divisors is an integer number (67921200).

Almost surely, 21220307319 is an apocalyptic number.

1220307319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1220307319 is a deficient number, since it is larger than the sum of its proper divisors (409801481).

1220307319 is a wasteful number, since it uses less digits than its factorization.

1220307319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119203 (or 119196 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1220307319 is about 34932.8973748242. The cubic root of 1220307319 is about 1068.6194437879.

The spelling of 1220307319 in words is "one billion, two hundred twenty million, three hundred seven thousand, three hundred nineteen".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 10241 119159 834113 1310749 2264021 5838791 9175243 15848147 24904231 64226701 110937029 174329617 1220307319