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245214216 = 23351331313
BaseRepresentation
bin11101001110110…
…10110000001000
3122002102011200000
432213122300020
51000233323331
640155443000
76035200152
oct1647326010
9562364600
10245214216
11116465085
126a156460
133ba58290
14247d1ad2
15167db0e6
hexe9dac08

245214216 has 192 divisors, whose sum is σ = 768069120. Its totient is φ = 72783360.

The previous prime is 245214187. The next prime is 245214223. The reversal of 245214216 is 612412542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 245214216.

It is an unprimeable number.

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, 783276 + ... + 783588.

It is an arithmetic number, because the mean of its divisors is an integer number (4000360).

Almost surely, 2245214216 is an apocalyptic number.

245214216 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 245214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384034560).

245214216 is an abundant number, since it is smaller than the sum of its proper divisors (522854904).

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

245214216 is a wasteful number, since it uses less digits than its factorization.

245214216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 245214216 is about 15659.3172264949. The cubic root of 245214216 is about 625.9147913842.

Adding to 245214216 its reverse (612412542), we get a palindrome (857626758).

The spelling of 245214216 in words is "two hundred forty-five million, two hundred fourteen thousand, two hundred sixteen".