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245201216 = 26131911543
BaseRepresentation
bin11101001110101…
…11100101000000
3122002101111211112
432213113211000
51000232414331
640155302452
76035114231
oct1647274500
9562344745
10245201216
11116456337
126a14aa28
133ba523a0
14247cb088
15167d732b
hexe9d7940

245201216 has 56 divisors (see below), whose sum is σ = 527084544. Its totient is φ = 112504320.

The previous prime is 245201191. The next prime is 245201219. The reversal of 245201216 is 612102542.

It is a happy number.

245201216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245201191 and 245201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245201219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158141 + ... + 159683.

It is an arithmetic number, because the mean of its divisors is an integer number (9412224).

Almost surely, 2245201216 is an apocalyptic number.

245201216 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 245201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263542272).

245201216 is an abundant number, since it is smaller than the sum of its proper divisors (281883328).

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

245201216 is a wasteful number, since it uses less digits than its factorization.

245201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 245201216 is about 15658.9021326529. The cubic root of 245201216 is about 625.9037302581.

Adding to 245201216 its reverse (612102542), we get a palindrome (857303758).

The spelling of 245201216 in words is "two hundred forty-five million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 191 208 382 416 764 832 1528 1543 2483 3056 3086 4966 6112 6172 9932 12224 12344 19864 20059 24688 39728 40118 49376 79456 80236 98752 158912 160472 294713 320944 589426 641888 1178852 1283776 2357704 3831269 4715408 7662538 9430816 15325076 18861632 30650152 61300304 122600608 245201216