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20032220214 = 2338910141269
BaseRepresentation
bin10010101010000000…
…110110110000110110
31220201002011020002000
4102222000312300312
5312011222021324
613111440000130
71306263030246
oct225200666066
956632136060
1020032220214
11854a7365a6
123a70900046
131b73279356
14d806b1b26
157c39d29c9
hex4aa036c36

20032220214 has 64 divisors (see below), whose sum is σ = 45463032000. Its totient is φ = 6536851200.

The previous prime is 20032220213. The next prime is 20032220297. The reversal of 20032220214 is 41202223002.

20032220214 is a `hidden beast` number, since 200 + 32 + 220 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032220213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464772 + ... + 506040.

It is an arithmetic number, because the mean of its divisors is an integer number (710359875).

Almost surely, 220032220214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032220214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731516000).

20032220214 is an abundant number, since it is smaller than the sum of its proper divisors (25430811786).

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

20032220214 is a wasteful number, since it uses less digits than its factorization.

20032220214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41470 (or 41464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20032220214 its reverse (41202223002), we get a palindrome (61234443216).

The spelling of 20032220214 in words is "twenty billion, thirty-two million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 101 178 202 267 303 534 606 801 909 1602 1818 2403 2727 4806 5454 8989 17978 26967 41269 53934 80901 82538 123807 161802 242703 247614 371421 485406 742842 1114263 2228526 3672941 4168169 7345882 8336338 11018823 12504507 22037646 25009014 33056469 37513521 66112938 75027042 99169407 112540563 198338814 225081126 370967041 741934082 1112901123 2225802246 3338703369 6677406738 10016110107 20032220214