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245875212 = 2232113797173
BaseRepresentation
bin11101010011111…
…00001000001100
3122010122202101100
432221330020030
51000421001322
640221543100
76043622232
oct1651741014
9563582340
10245875212
11116876760
126a414a90
133bc2a0bb
1424924952
15168bbdac
hexea7c20c

245875212 has 144 divisors (see below), whose sum is σ = 707589792. Its totient is φ = 71331840.

The previous prime is 245875183. The next prime is 245875213. The reversal of 245875212 is 212578542.

It is a happy number.

245875212 is a `hidden beast` number, since 24 + 587 + 52 + 1 + 2 = 666.

245875212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245875213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421158 + ... + 1421330.

It is an arithmetic number, because the mean of its divisors is an integer number (4913818).

Almost surely, 2245875212 is an apocalyptic number.

245875212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245875212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353794896).

245875212 is an abundant number, since it is smaller than the sum of its proper divisors (461714580).

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

245875212 is a wasteful number, since it uses less digits than its factorization.

245875212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 245875212 is about 15680.4085405961. The cubic root of 245875212 is about 626.4766891814.

The spelling of 245875212 in words is "two hundred forty-five million, eight hundred seventy-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 97 99 111 132 148 173 194 198 222 291 333 346 388 396 407 444 519 582 666 692 814 873 1038 1067 1164 1221 1332 1557 1628 1746 1903 2076 2134 2442 3114 3201 3492 3589 3663 3806 4268 4884 5709 6228 6401 6402 7178 7326 7612 9603 10767 11418 12802 12804 14356 14652 16781 17127 19203 19206 21534 22836 25604 32301 33562 34254 38406 38412 39479 43068 50343 57609 64602 67124 68508 70411 76812 78958 100686 115218 118437 129204 140822 151029 157916 184591 201372 211233 230436 236874 281644 302058 355311 369182 422466 473748 553773 604116 620897 633699 710622 738364 844932 1107546 1241794 1267398 1421244 1661319 1862691 2215092 2483588 2534796 3322638 3725382 5588073 6645276 6829867 7450764 11176146 13659734 20489601 22352292 27319468 40979202 61468803 81958404 122937606 245875212