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214240202320 = 2456739970187
BaseRepresentation
bin1100011110000110110…
…1100000111001010000
3202110222202201220201011
43013201231200321100
512002230442433240
6242230503020304
721323033446564
oct3074155407120
9673882656634
10214240202320
118294a010a51
123563073a694
131728361ccb1
14a5254436a4
15588d7036ea
hex31e1b60e50

214240202320 has 40 divisors (see below), whose sum is σ = 505542937824. Its totient is φ = 84417032832.

The previous prime is 214240202303. The next prime is 214240202327. The reversal of 214240202320 is 23202042412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2142402023202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214240202291 and 214240202300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214240202327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19979734 + ... + 19990453.

Almost surely, 2214240202320 is an apocalyptic number.

214240202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214240202320 is an abundant number, since it is smaller than the sum of its proper divisors (291302735504).

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

214240202320 is a wasteful number, since it uses less digits than its factorization.

214240202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39970267 (or 39970261 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214240202320 its reverse (23202042412), we get a palindrome (237442244732).

The spelling of 214240202320 in words is "two hundred fourteen billion, two hundred forty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 39970187 79940374 159880748 199850935 319761496 399701870 639522992 799403740 1598807480 2678002529 3197614960 5356005058 10712010116 13390012645 21424020232 26780025290 42848040464 53560050580 107120101160 214240202320