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241362225 = 3252131943101
BaseRepresentation
bin11100110001011…
…10010100110001
3121211011110201200
432120232110301
5443242042400
635541121413
75660354646
oct1630562461
9554143650
10241362225
11114274015
12689b9269
133b009bb0
14240abdcd
15162c9b00
hexe62e531

241362225 has 144 divisors (see below), whose sum is σ = 506425920. Its totient is φ = 108864000.

The previous prime is 241362197. The next prime is 241362227. The reversal of 241362225 is 522263142.

It is a happy number.

241362225 is a `hidden beast` number, since 2 + 4 + 13 + 622 + 25 = 666.

241362225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241362225 - 25 = 241362193 is a prime.

Its product of digits (5760) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (241362227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2389675 + ... + 2389775.

Almost surely, 2241362225 is an apocalyptic number.

241362225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241362225 is an abundant number, since it is smaller than the sum of its proper divisors (265063695).

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

241362225 is a wasteful number, since it uses less digits than its factorization.

241362225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 241362225 is about 15535.8367975465. The cubic root of 241362225 is about 622.6200474917.

The spelling of 241362225 in words is "two hundred forty-one million, three hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 43 45 57 65 75 95 101 117 129 171 195 215 225 247 285 303 325 387 475 505 559 585 645 741 817 855 909 975 1075 1235 1313 1425 1515 1677 1919 1935 2223 2451 2525 2795 2925 3225 3705 3939 4085 4275 4343 4545 5031 5757 6175 6565 7353 7575 8385 9595 9675 10621 11115 11817 12255 13029 13975 17271 18525 19695 20425 21715 22725 24947 25155 28785 31863 32825 36765 39087 41925 47975 53105 55575 56459 59085 61275 65145 74841 82517 86355 95589 98475 108575 124735 125775 143925 159315 169377 183825 195435 224523 247551 265525 282295 295425 325725 374205 412585 431775 477945 508131 623675 742653 796575 846885 977175 1072721 1122615 1237755 1411475 1871025 2062925 2389725 2540655 3218163 3713265 4234425 5363605 5613075 6188775 9654489 12703275 16090815 18566325 26818025 48272445 80454075 241362225