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290007501220 = 22519375131477
BaseRepresentation
bin1000011100001011100…
…10110100100110100100
31000201120010021111100201
410032011302310212210
514222413410014340
6341121055120244
726644441042003
oct4160562644644
91021503244321
10290007501220
11101a9a746048
1248256b13084
1321469869838
1410071db2c3a
1578252d379a
hex4385cb49a4

290007501220 has 24 divisors (see below), whose sum is σ = 612171282744. Its totient is φ = 115401947136.

The previous prime is 290007501211. The next prime is 290007501221. The reversal of 290007501220 is 22105700092.

It can be written as a sum of positive squares in 4 ways, for example, as 54516646144 + 235490855076 = 233488^2 + 485274^2 .

It is not an unprimeable number, because it can be changed into a prime (290007501221) 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 7 ways as a sum of consecutive naturals, for example, 37561879 + ... + 37569598.

It is an arithmetic number, because the mean of its divisors is an integer number (25507136781).

Almost surely, 2290007501220 is an apocalyptic number.

290007501220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290007501220 is an abundant number, since it is smaller than the sum of its proper divisors (322163781524).

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

290007501220 is a wasteful number, since it uses less digits than its factorization.

290007501220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75131679 (or 75131677 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 290007501220 in words is "two hundred ninety billion, seven million, five hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 75131477 150262954 300525908 375657385 751314770 1502629540 14500375061 29000750122 58001500244 72501875305 145003750610 290007501220