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2212249725 = 34527239653
BaseRepresentation
bin1000001111011100…
…0100000001111101
312201011201221010000
42003313010001331
514012313442400
61003304104513
7105551545440
oct20367040175
95634657100
102212249725
11a35836a64
12518a65139
1329343020a
1416db49657
15ce33b600
hex83dc407d

2212249725 has 120 divisors (see below), whose sum is σ = 4710055680. Its totient is φ = 1005540480.

The previous prime is 2212249709. The next prime is 2212249727. The reversal of 2212249725 is 5279422122.

It is a happy number.

2212249725 is a `hidden beast` number, since 22 + 122 + 497 + 25 = 666.

It is not a de Polignac number, because 2212249725 - 24 = 2212249709 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212249725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212249727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3387499 + ... + 3388151.

It is an arithmetic number, because the mean of its divisors is an integer number (39250464).

Almost surely, 22212249725 is an apocalyptic number.

2212249725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2212249725 is an abundant number, since it is smaller than the sum of its proper divisors (2497805955).

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

2212249725 is a wasteful number, since it uses less digits than its factorization.

2212249725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2212249725 is about 47034.5588370934. The cubic root of 2212249725 is about 1303.0009027315. Note that the first 3 decimals are identical.

The spelling of 2212249725 in words is "two billion, two hundred twelve million, two hundred forty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 239 315 405 525 567 653 675 717 945 1195 1575 1673 1959 2025 2151 2835 3265 3585 4571 4725 5019 5877 5975 6453 8365 9795 10755 13713 14175 15057 16325 17631 17925 19359 22855 25095 29385 32265 41139 41825 45171 48975 52893 53775 68565 75285 88155 96795 114275 123417 125475 135513 146925 156067 161325 205695 225855 264465 342825 370251 376425 440775 468201 483975 617085 677565 780335 1028475 1092469 1129275 1322325 1404603 1851255 2341005 3085425 3277407 3387825 3901675 4213809 5462345 7023015 9256275 9832221 11705025 12641427 16387035 21069045 27311725 29496663 35115075 49161105 63207135 81935175 88489989 105345225 147483315 245805525 316035675 442449945 737416575 2212249725