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1220310014 = 272111723917
BaseRepresentation
bin100100010111100…
…0111001111111110
310011001020011122012
41020233013033332
54444344410024
6321031251222
742145315100
oct11057071776
93131204565
101220310014
11576918a80
122a0819b12
13165a85a41
14b80d9570
15721ed50e
hex48bc73fe

1220310014 has 72 divisors (see below), whose sum is σ = 2468198952. Its totient is φ = 447363840.

The previous prime is 1220309983. The next prime is 1220310023. The reversal of 1220310014 is 4100130221.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 35 ways as a sum of consecutive naturals, for example, 309584 + ... + 313500.

It is an arithmetic number, because the mean of its divisors is an integer number (34280541).

Almost surely, 21220310014 is an apocalyptic number.

1220310014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1220310014 is an abundant number, since it is smaller than the sum of its proper divisors (1247888938).

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

1220310014 is a wasteful number, since it uses less digits than its factorization.

1220310014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1220310014 is about 34932.9359487576. The cubic root of 1220310014 is about 1068.6202304552.

Adding to 1220310014 its reverse (4100130221), we get a palindrome (5320440235).

The spelling of 1220310014 in words is "one billion, two hundred twenty million, three hundred ten thousand, fourteen".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 289 374 539 578 833 1078 1309 1666 2023 2618 3179 3917 4046 6358 7834 9163 14161 18326 22253 27419 28322 43087 44506 54838 66589 86174 133178 155771 191933 301609 311542 383866 466123 603218 732479 932246 1132013 1464958 2111263 2264026 3262861 4222526 5127353 6525722 7924091 10254706 12452143 15848182 24904286 35891471 55468637 71782942 87165001 110937274 174330002 610155007 1220310014