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216420340 = 225231074397
BaseRepresentation
bin11001110011001…
…00111111110100
3120002020021220011
430321210333310
5420400422330
633250350004
75235354043
oct1471447764
9502207804
10216420340
11101188894
126058b304
1335ab6296
1420a5855a
1513eee82a
hexce64ff4

216420340 has 48 divisors (see below), whose sum is σ = 478783872. Its totient is φ = 82011776.

The previous prime is 216420313. The next prime is 216420361. The reversal of 216420340 is 43024612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47022 + ... + 51418.

It is an arithmetic number, because the mean of its divisors is an integer number (9974664).

Almost surely, 2216420340 is an apocalyptic number.

216420340 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 216420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239391936).

216420340 is an abundant number, since it is smaller than the sum of its proper divisors (262363532).

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

216420340 is a wasteful number, since it uses less digits than its factorization.

216420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 216420340 is about 14711.2317635200. The cubic root of 216420340 is about 600.3889515104.

Adding to 216420340 its reverse (43024612), we get a palindrome (259444952).

The spelling of 216420340 in words is "two hundred sixteen million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 428 460 535 1070 2140 2461 4397 4922 8794 9844 12305 17588 21985 24610 43970 49220 87940 101131 202262 404524 470479 505655 940958 1011310 1881916 2022620 2352395 4704790 9409580 10821017 21642034 43284068 54105085 108210170 216420340