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245331216 = 243213217593
BaseRepresentation
bin11101001111101…
…11010100010000
3122002122010011100
432213313110100
51000301044331
640202144400
76036165234
oct1647672420
9562563140
10245331216
11116534a79
126a1b2100
133ba99600
14248225c4
1516810ae6
hexe9f7510

245331216 has 180 divisors, whose sum is σ = 788524308. Its totient is φ = 70926336.

The previous prime is 245331197. The next prime is 245331217. The reversal of 245331216 is 612133542.

245331216 is a `hidden beast` number, since 2 + 4 + 533 + 121 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8294400 + 237036816 = 2880^2 + 15396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 245331216.

It is not an unprimeable number, because it can be changed into a prime (245331217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413416 + ... + 414008.

Almost surely, 2245331216 is an apocalyptic number.

245331216 is a gapful number since it is divisible by the number (26) 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 245331216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394262154).

245331216 is an abundant number, since it is smaller than the sum of its proper divisors (543193092).

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

245331216 is a wasteful number, since it uses less digits than its factorization.

245331216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 245331216 is about 15663.0525760466. The cubic root of 245331216 is about 626.0143239313.

Adding to 245331216 its reverse (612133542), we get a palindrome (857464758).

The spelling of 245331216 in words is "two hundred forty-five million, three hundred thirty-one thousand, two hundred sixteen".