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4194261225 = 3252711242093
BaseRepresentation
bin1111100111111111…
…0101100011101001
3101211022020112202100
43321333311203221
532042212324400
61532105324013
7205636426560
oct37177654351
911738215670
104194261225
1118626075a0
12990796609
1351ac4989b
142bb080bd7
15198349100
hexf9ff58e9

4194261225 has 72 divisors (see below), whose sum is σ = 9366132672. Its totient is φ = 1743062400.

The previous prime is 4194261217. The next prime is 4194261257. The reversal of 4194261225 is 5221624914.

It is a happy number.

4194261225 is a `hidden beast` number, since 4 + 1 + 9 + 426 + 1 + 225 = 666.

4194261225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4194261225 - 23 = 4194261217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4194261225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103722 + ... + 138371.

It is an arithmetic number, because the mean of its divisors is an integer number (130085176).

Almost surely, 24194261225 is an apocalyptic number.

4194261225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4194261225 is an abundant number, since it is smaller than the sum of its proper divisors (5171871447).

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

4194261225 is a wasteful number, since it uses less digits than its factorization.

4194261225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242127 (or 242119 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4194261225 is about 64763.1162391063. The cubic root of 4194261225 is about 1612.6934615548.

The spelling of 4194261225 in words is "four billion, one hundred ninety-four million, two hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 242093 726279 1210465 1694651 2178837 2663023 3631395 5083953 6052325 7989069 8473255 10894185 13315115 15251859 18156975 18641161 23967207 25419765 39945345 42366275 54470925 55923483 66575575 76259295 93205805 119836035 127098825 167770449 199726725 279617415 381296475 466029025 599180175 838852245 1398087075 4194261225