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1225069992 = 2332193072917
BaseRepresentation
bin100100100000101…
…0001010110101000
310011101012000002200
41021001101112220
510002104214432
6321321300200
742233631426
oct11101212650
93141160080
101225069992
1157957a243
122a2334660
13166a614b3
14b89b8116
157283da7c
hex490515a8

1225069992 has 96 divisors (see below), whose sum is σ = 3505101600. Its totient is φ = 385471872.

The previous prime is 1225069991. The next prime is 1225070003. The reversal of 1225069992 is 2999605221.

It is not an unprimeable number, because it can be changed into a prime (1225069991) 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 23 ways as a sum of consecutive naturals, for example, 418518 + ... + 421434.

It is an arithmetic number, because the mean of its divisors is an integer number (36511475).

Almost surely, 21225069992 is an apocalyptic number.

1225069992 is a gapful number since it is divisible by the number (12) 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 1225069992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752550800).

1225069992 is an abundant number, since it is smaller than the sum of its proper divisors (2280031608).

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

1225069992 is a wasteful number, since it uses less digits than its factorization.

1225069992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1225069992 is about 35000.9998714322. Note that the first 3 decimals coincide. The cubic root of 1225069992 is about 1070.0078585617.

The spelling of 1225069992 in words is "one billion, two hundred twenty-five million, sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 307 342 456 614 684 921 1228 1368 1842 2456 2763 2917 3684 5526 5833 5834 7368 8751 11052 11666 11668 17499 17502 22104 23332 23336 26253 34998 35004 46664 52497 52506 55423 69996 70008 104994 105012 110846 139992 166269 209988 210024 221692 332538 419976 443384 498807 665076 895519 997614 1330152 1791038 1995228 2686557 3582076 3990456 5373114 7164152 8059671 10746228 16119342 17014861 21492456 32238684 34029722 51044583 64477368 68059444 102089166 136118888 153133749 204178332 306267498 408356664 612534996 1225069992