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1228008705 = 357111397649
BaseRepresentation
bin100100100110001…
…1110110100000001
310011120201022020220
41021030132310001
510003332234310
6321504253253
742300621210
oct11114366401
93146638226
101228008705
115801a7130
122a3311229
1316754cc91
14b9141077
1572c1e670
hex4931ed01

1228008705 has 64 divisors (see below), whose sum is σ = 2467584000. Its totient is φ = 506603520.

The previous prime is 1228008689. The next prime is 1228008731. The reversal of 1228008705 is 5078008221.

It is not a de Polignac number, because 1228008705 - 24 = 1228008689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156721 + ... + 164369.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 21228008705 is an apocalyptic number.

1228008705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1228008705 is an abundant number, since it is smaller than the sum of its proper divisors (1239575295).

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

1228008705 is a wasteful number, since it uses less digits than its factorization.

1228008705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 1228008705 is about 35042.9551407983. The cubic root of 1228008705 is about 1070.8627580254.

The spelling of 1228008705 in words is "one billion, two hundred twenty-eight million, eight thousand, seven hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 139 165 231 385 417 695 973 1155 1529 2085 2919 4587 4865 7645 7649 10703 14595 22935 22947 32109 38245 53515 53543 84139 114735 160545 160629 252417 267715 420695 588973 803145 1063211 1262085 1766919 2944865 3189633 5316055 7442477 8834595 11695321 15948165 22327431 35085963 37212385 58476605 81867247 111637155 175429815 245601741 409336235 1228008705