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216145300 = 22527714349
BaseRepresentation
bin11001110001000…
…01110110010100
3120001201022121111
430320201312110
5420313122200
633240424404
75233130140
oct1470416624
9501638544
10216145300
11101010188
1260478104
1335a1b037
14209c6220
1513e980ba
hexce21d94

216145300 has 72 divisors (see below), whose sum is σ = 543715200. Its totient is φ = 73046400.

The previous prime is 216145297. The next prime is 216145301. The reversal of 216145300 is 3541612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216145301) 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 23 ways as a sum of consecutive naturals, for example, 47526 + ... + 51874.

It is an arithmetic number, because the mean of its divisors is an integer number (7551600).

Almost surely, 2216145300 is an apocalyptic number.

216145300 is a gapful number since it is divisible by the number (20) 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 216145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857600).

216145300 is an abundant number, since it is smaller than the sum of its proper divisors (327569900).

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

216145300 is a wasteful number, since it uses less digits than its factorization.

216145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 216145300 is about 14701.8808320568. The cubic root of 216145300 is about 600.1345068813.

Adding to 216145300 its reverse (3541612), we get a palindrome (219686912).

The spelling of 216145300 in words is "two hundred sixteen million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4349 4970 7100 8698 9940 12425 17396 21745 24850 30443 43490 49700 60886 86980 108725 121772 152215 217450 304430 308779 434900 608860 617558 761075 1235116 1522150 1543895 2161453 3044300 3087790 4322906 6175580 7719475 8645812 10807265 15438950 21614530 30877900 43229060 54036325 108072650 216145300