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213245025 = 35271723893
BaseRepresentation
bin11001011010111…
…01110001100001
3112212020222011220
430231131301201
5414042320100
633054325253
75166360420
oct1455356141
9485228156
10213245025
11aa40a164
125b4b9829
1335243bb6
142046d2b7
1513ac3aa0
hexcb5dc61

213245025 has 48 divisors (see below), whose sum is σ = 426651264. Its totient is φ = 91745280.

The previous prime is 213245009. The next prime is 213245047. The reversal of 213245025 is 520542312.

It is not a de Polignac number, because 213245025 - 24 = 213245009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213244986 and 213245004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3022 + ... + 20871.

It is an arithmetic number, because the mean of its divisors is an integer number (8888568).

Almost surely, 2213245025 is an apocalyptic number.

213245025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213245025 is an abundant number, since it is smaller than the sum of its proper divisors (213406239).

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

213245025 is a wasteful number, since it uses less digits than its factorization.

213245025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 23925 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213245025 is about 14602.9115247611. The cubic root of 213245025 is about 597.4381745405.

Adding to 213245025 its reverse (520542312), we get a palindrome (733787337).

The spelling of 213245025 in words is "two hundred thirteen million, two hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 23893 71679 119465 167251 358395 406181 501753 597325 836255 1218543 1791975 2030905 2508765 2843267 4181275 6092715 8529801 10154525 12543825 14216335 30463575 42649005 71081675 213245025