Search a number
-
+
20222032322020 = 22517229120642121
BaseRepresentation
bin1001001100100010011110…
…00011011001110111100100
32122121012121012110010002211
410212101033003121313210
510122304210233301040
6111001512353213204
74154664545433604
oct446211703316744
978535535403084
1020222032322020
116497130070931
1223271b9861204
13b38c11060a39
144dca744d4c04
1525104c6c08ea
hex12644f0d9de4

20222032322020 has 72 divisors (see below), whose sum is σ = 46666785632040. Its totient is φ = 7350483087360.

The previous prime is 20222032321987. The next prime is 20222032322029. The reversal of 20222032322020 is 2022323022202.

It can be written as a sum of positive squares in 12 ways, for example, as 4525047910656 + 15696984411364 = 2127216^2 + 3961942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20222032321982 and 20222032322000.

It is not an unprimeable number, because it can be changed into a prime (20222032322029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60153441 + ... + 60488680.

It is an arithmetic number, because the mean of its divisors is an integer number (648149800445).

Almost surely, 220222032322020 is an apocalyptic number.

20222032322020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222032322020 is an abundant number, since it is smaller than the sum of its proper divisors (26444753310020).

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

20222032322020 is a wasteful number, since it uses less digits than its factorization.

20222032322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120642193 (or 120642174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20222032322020 its reverse (2022323022202), we get a palindrome (22244355344222).

The spelling of 20222032322020 in words is "twenty trillion, two hundred twenty-two billion, thirty-two million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 340 493 578 580 986 1156 1445 1972 2465 2890 4930 5780 8381 9860 16762 33524 41905 83810 167620 120642121 241284242 482568484 603210605 1206421210 2050916057 2412842420 3498621509 4101832114 6997243018 8203664228 10254580285 13994486036 17493107545 20509160570 34865572969 34986215090 41018321140 59476565653 69731145938 69972430180 118953131306 139462291876 174327864845 237906262612 297382828265 348655729690 594765656530 697311459380 1011101616101 1189531313060 2022203232202 4044406464404 5055508080505 10111016161010 20222032322020