Search a number
-
+
20221022012202 = 23211349129254189
BaseRepresentation
bin1001001100100000100101…
…10101011000001100101010
32122121002222210101001120200
410212100102311120030222
510122300123113342302
6111001224222533030
74154630530103124
oct446202265301452
978532883331520
1020221022012202
116496761846140
122326b77437176
13b38aac953c8b
144dc9ba262214
15250eddb5481c
hex126412d5832a

20221022012202 has 48 divisors (see below), whose sum is σ = 47808835532640. Its totient is φ = 6125826967200.

The previous prime is 20221022012197. The next prime is 20221022012239.

20221022012202 is a `hidden beast` number, since 2 + 0 + 221 + 0 + 220 + 1 + 220 + 2 = 666.

20221022012202 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13935877 + ... + 15318312.

It is an arithmetic number, because the mean of its divisors is an integer number (996017406930).

Almost surely, 220221022012202 is an apocalyptic number.

20221022012202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20221022012202 is an abundant number, since it is smaller than the sum of its proper divisors (27587813520438).

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

20221022012202 is a wasteful number, since it uses less digits than its factorization.

20221022012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257699 (or 29257696 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2022102 and 2012202, that added together give a palindrome (4034304).

The spelling of 20221022012202 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3491 6982 10473 20946 31419 38401 62838 76802 115203 230406 345609 691218 29254189 58508378 87762567 175525134 263287701 321796079 526575402 643592158 965388237 1930776474 2896164711 5792329422 102126373799 204252747598 306379121397 612758242794 919137364191 1123390111789 1838274728382 2246780223578 3370170335367 6740340670734 10110511006101 20221022012202