Search a number
-
+
20522234500 = 2253732412333
BaseRepresentation
bin10011000111001110…
…000111001010000100
31221222020012112022021
4103013032013022010
5314012143001000
613232222412524
71324363054315
oct230716071204
957866175267
1020522234500
1187812a2589
123b88a31144
131c20946231
14dc97c860c
15801a2711a
hex4c7387284

20522234500 has 96 divisors (see below), whose sum is σ = 45642621024. Its totient is φ = 8059392000.

The previous prime is 20522234459. The next prime is 20522234507. The reversal of 20522234500 is 543222502.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 12840062596 + 7682171904 = 113314^2 + 87648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20522234507) 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, 8795334 + ... + 8797666.

It is an arithmetic number, because the mean of its divisors is an integer number (475443969).

Almost surely, 220522234500 is an apocalyptic number.

20522234500 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 20522234500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821310512).

20522234500 is an abundant number, since it is smaller than the sum of its proper divisors (25120386524).

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

20522234500 is a wasteful number, since it uses less digits than its factorization.

20522234500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 20522234500 in words is "twenty billion, five hundred twenty-two million, two hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 241 250 292 365 482 500 730 964 1205 1460 1825 2333 2410 3650 4666 4820 6025 7300 9125 9332 11665 12050 17593 18250 23330 24100 30125 35186 36500 46660 58325 60250 70372 87965 116650 120500 170309 175930 233300 291625 340618 351860 439825 562253 583250 681236 851545 879650 1124506 1166500 1703090 1759300 2199125 2249012 2811265 3406180 4257725 4398250 5622530 8515450 8796500 11245060 14056325 17030900 21288625 28112650 41044469 42577250 56225300 70281625 82088938 85154500 140563250 164177876 205222345 281126500 410444690 820889380 1026111725 2052223450 4104446900 5130558625 10261117250 20522234500