Search a number
-
+
202210000100220 = 22357481452381191
BaseRepresentation
bin101101111110100010101111…
…001110011101101101111100
3222111222002100120201022122010
4231332202233032131231330
5203001002040011201340
61554021554105251220
760410122210236660
oct5576425716355574
9874862316638563
10202210000100220
11594808634a8672
121a81979ba93b10
1388aa423866388
1437d10327428a0
151859e2d3bdb80
hexb7e8af39db7c

202210000100220 has 48 divisors (see below), whose sum is σ = 647072000322048. Its totient is φ = 46219428594240.

The previous prime is 202210000100219. The next prime is 202210000100221. The reversal of 202210000100220 is 22001000012202.

It is an interprime number because it is at equal distance from previous prime (202210000100219) and next prime (202210000100221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202210000100196 and 202210000100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210000100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240726190176 + ... + 240726191015.

It is an arithmetic number, because the mean of its divisors is an integer number (13480666673376).

Almost surely, 2202210000100220 is an apocalyptic number.

202210000100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210000100220 is an abundant number, since it is smaller than the sum of its proper divisors (444862000221828).

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

202210000100220 is a wasteful number, since it uses less digits than its factorization.

202210000100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481452381210 (or 481452381208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202210000100220 its reverse (22001000012202), we get a palindrome (224211000112422).

The spelling of 202210000100220 in words is "two hundred two trillion, two hundred ten billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 481452381191 962904762382 1444357143573 1925809524764 2407261905955 2888714287146 3370166668337 4814523811910 5777428574292 6740333336674 7221785717865 9629047623820 10110500005011 13480666673348 14443571435730 16850833341685 20221000010022 28887142871460 33701666683370 40442000020044 50552500025055 67403333366740 101105000050110 202210000100220