Search a number
-
+
214340022120 = 23357255166693
BaseRepresentation
bin1100011110011110101…
…0010010111101101000
3202111020201120021201210
43013213222102331220
512002432021201440
6242244430313120
721325355061450
oct3074752227550
9674221507653
10214340022120
11829a039a054
123565a0587a0
131729b1cc773
14a5347c8d60
15589736ea80
hex31e7a92f68

214340022120 has 64 divisors (see below), whose sum is σ = 734880078720. Its totient is φ = 48992004864.

The previous prime is 214340022109. The next prime is 214340022187. The reversal of 214340022120 is 21220043412.

214340022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127582507 + ... + 127584186.

It is an arithmetic number, because the mean of its divisors is an integer number (11482501230).

Almost surely, 2214340022120 is an apocalyptic number.

214340022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214340022120 is an abundant number, since it is smaller than the sum of its proper divisors (520540056600).

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

214340022120 is a wasteful number, since it uses less digits than its factorization.

214340022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255166714 (or 255166710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214340022120 its reverse (21220043412), we get a palindrome (235560065532).

The spelling of 214340022120 in words is "two hundred fourteen billion, three hundred forty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 255166693 510333386 765500079 1020666772 1275833465 1531000158 1786166851 2041333544 2551666930 3062000316 3572333702 3827500395 5103333860 5358500553 6124000632 7144667404 7655000790 8930834255 10206667720 10717001106 14289334808 15310001580 17861668510 21434002212 26792502765 30620003160 35723337020 42868004424 53585005530 71446674040 107170011060 214340022120