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20205330 = 23537109167
BaseRepresentation
bin100110100010…
…0111100010010
31102000112111120
41031010330102
520133032310
62001023110
7333512445
oct115047422
942015446
1020205330
1110450622
126924a96
134255a22
14297d65c
151b91b70
hex1344f12

20205330 has 64 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 5163264.

The previous prime is 20205329. The next prime is 20205331. The reversal of 20205330 is 3350202.

It is an interprime number because it is at equal distance from previous prime (20205329) and next prime (20205331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20205331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120907 + ... + 121073.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 220205330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

20205330 is an abundant number, since it is smaller than the sum of its proper divisors (30355950).

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

20205330 is a wasteful number, since it uses less digits than its factorization.

20205330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 20205330 is about 4495.0339264571. The cubic root of 20205330 is about 272.3675197008.

Adding to 20205330 its reverse (3350202), we get a palindrome (23555532).

The spelling of 20205330 in words is "twenty million, two hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 109 111 167 185 218 222 327 334 370 501 545 555 654 835 1002 1090 1110 1635 1670 2505 3270 4033 5010 6179 8066 12099 12358 18203 18537 20165 24198 30895 36406 37074 40330 54609 60495 61790 91015 92685 109218 120990 182030 185370 273045 546090 673511 1347022 2020533 3367555 4041066 6735110 10102665 20205330