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209149470 = 232517223613
BaseRepresentation
bin11000111011101…
…01111000011110
3112120112220010200
430131311320132
5412020240340
632430444330
75116512135
oct1435657036
9476486120
10209149470
11a8072102
125a0636a6
133443b9aa
141dac491c
1513565330
hexc775e1e

209149470 has 96 divisors (see below), whose sum is σ = 579301632. Its totient is φ = 52171776.

The previous prime is 209149441. The next prime is 209149471. The reversal of 209149470 is 74941902.

209149470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209149471) 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 47 ways as a sum of consecutive naturals, for example, 340884 + ... + 341496.

It is an arithmetic number, because the mean of its divisors is an integer number (6034392).

Almost surely, 2209149470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209149470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289650816).

209149470 is an abundant number, since it is smaller than the sum of its proper divisors (370152162).

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

209149470 is a wasteful number, since it uses less digits than its factorization.

209149470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 209149470 is about 14462.0008989075. Note that the first 3 decimals coincide. The cubic root of 209149470 is about 593.5886517079.

The spelling of 209149470 in words is "two hundred nine million, one hundred forty-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 223 255 306 446 510 613 669 765 1115 1226 1338 1530 1839 2007 2230 3065 3345 3678 3791 4014 5517 6130 6690 7582 9195 10035 10421 11034 11373 18390 18955 20070 20842 22746 27585 31263 34119 37910 52105 55170 56865 62526 68238 93789 104210 113730 136699 156315 170595 187578 273398 312630 341190 410097 468945 683495 820194 937890 1230291 1366990 2050485 2323883 2460582 4100970 4647766 6151455 6971649 11619415 12302910 13943298 20914947 23238830 34858245 41829894 69716490 104574735 209149470