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214244231340 = 223523155249443
BaseRepresentation
bin1100011110000111110…
…0111000100010101100
3202111000001022121111010
43013201330320202230
512002233010400330
6242231125225220
721323112630156
oct3074174704254
9674001277433
10214244231340
1182951313017
1235631b62210
1317284400b29
14a525bb1ad6
15588dc4c3b0
hex31e1f388ac

214244231340 has 48 divisors (see below), whose sum is σ = 625965758208. Its totient is φ = 54647803584.

The previous prime is 214244231321. The next prime is 214244231351. The reversal of 214244231340 is 43132442412.

214244231340 is digitally balanced in base 2, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 214244231298 and 214244231307.

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 15 ways as a sum of consecutive naturals, for example, 77623342 + ... + 77626101.

It is an arithmetic number, because the mean of its divisors is an integer number (13040953296).

Almost surely, 2214244231340 is an apocalyptic number.

214244231340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214244231340 is an abundant number, since it is smaller than the sum of its proper divisors (411721526868).

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

214244231340 is a wasteful number, since it uses less digits than its factorization.

214244231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155249478 (or 155249476 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 214244231340 its reverse (43132442412), we get a palindrome (257376673752).

The spelling of 214244231340 in words is "two hundred fourteen billion, two hundred forty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 155249443 310498886 465748329 620997772 776247215 931496658 1552494430 1862993316 2328741645 3104988860 3570737189 4657483290 7141474378 9314966580 10712211567 14282948756 17853685945 21424423134 35707371890 42848846268 53561057835 71414743780 107122115670 214244231340