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20022900 = 22352312153
BaseRepresentation
bin100110001100…
…0011001110100
31101200021020220
41030120121310
520111213100
61553054340
7332122542
oct114303164
941607226
1020022900
1110336557
1268573b0
1341c0991
142932d92
151b57aa0
hex1318674

20022900 has 72 divisors (see below), whose sum is σ = 59829504. Its totient is φ = 5164800.

The previous prime is 20022887. The next prime is 20022901. The reversal of 20022900 is 922002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20022900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022901) 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 23 ways as a sum of consecutive naturals, for example, 8224 + ... + 10376.

Almost surely, 220022900 is an apocalyptic number.

20022900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914752).

20022900 is an abundant number, since it is smaller than the sum of its proper divisors (39806604).

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

20022900 is a wasteful number, since it uses less digits than its factorization.

20022900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20022900 is about 4474.6955203678. The cubic root of 20022900 is about 271.5453224162.

Adding to 20022900 its reverse (922002), we get a palindrome (20944902).

The spelling of 20022900 in words is "twenty million, twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2153 2325 3100 4306 4650 6459 8612 9300 10765 12918 21530 25836 32295 43060 53825 64590 66743 107650 129180 133486 161475 200229 215300 266972 322950 333715 400458 645900 667430 800916 1001145 1334860 1668575 2002290 3337150 4004580 5005725 6674300 10011450 20022900