Search a number
-
+
217415229808 = 24719102168811
BaseRepresentation
bin1100101001111011110…
…1010010000101110000
3202210012001010000121211
43022132331102011300
512030231244323213
6243513522525504
721464515650520
oct3123675220560
9683161100554
10217415229808
1184229258107
1236177b06894
131766b356c9a
14a746dab680
1559c731c53d
hex329ef52170

217415229808 has 40 divisors (see below), whose sum is σ = 506757307520. Its totient is φ = 88273851840.

The previous prime is 217415229763. The next prime is 217415229821. The reversal of 217415229808 is 808922514712.

It is a happy number.

217415229808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51082278 + ... + 51086533.

It is an arithmetic number, because the mean of its divisors is an integer number (12668932688).

Almost surely, 2217415229808 is an apocalyptic number.

217415229808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217415229808 is an abundant number, since it is smaller than the sum of its proper divisors (289342077712).

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

217415229808 is a wasteful number, since it uses less digits than its factorization.

217415229808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102168845 (or 102168839 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 217415229808 in words is "two hundred seventeen billion, four hundred fifteen million, two hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 102168811 204337622 408675244 715181677 817350488 1430363354 1634700976 1941207409 2860726708 3882414818 5721453416 7764829636 11442906832 13588451863 15529659272 27176903726 31059318544 54353807452 108707614904 217415229808