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1225073808 = 2435745013
BaseRepresentation
bin100100100000101…
…0010010010010000
310011101012012100000
41021001102102100
510002104330213
6321321330000
742233645520
oct11101222220
93141165300
101225073808
115795820a2
122a2336900
13166a6315a
14b89b9680
157283ec73
hex49052490

1225073808 has 120 divisors (see below), whose sum is σ = 4063503808. Its totient is φ = 350013312.

The previous prime is 1225073803. The next prime is 1225073813. The reversal of 1225073808 is 8083705221.

It is an interprime number because it is at equal distance from previous prime (1225073803) and next prime (1225073813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1225073803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4710 + ... + 49722.

Almost surely, 21225073808 is an apocalyptic number.

1225073808 is a gapful number since it is divisible by the number (18) 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 1225073808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031751904).

1225073808 is an abundant number, since it is smaller than the sum of its proper divisors (2838430000).

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

1225073808 is an equidigital number, since it uses as much as digits as its factorization.

1225073808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45043 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1225073808 is about 35001.0543841182. The cubic root of 1225073808 is about 1070.0089695583.

The spelling of 1225073808 in words is "one billion, two hundred twenty-five million, seventy-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 45013 90026 135039 180052 270078 315091 360104 405117 540156 630182 720208 810234 945273 1080312 1215351 1260364 1620468 1890546 2160624 2430702 2520728 2835819 3240936 3646053 3781092 4861404 5041456 5671638 6481872 7292106 7562184 8507457 9722808 10938159 11343276 14584212 15124368 17014914 19445616 21876318 22686552 25522371 29168424 34029828 43752636 45373104 51044742 58336848 68059656 76567113 87505272 102089484 136119312 153134226 175010544 204178968 306268452 408357936 612536904 1225073808