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20202202000220 = 22529151230999901
BaseRepresentation
bin1001001011111101100010…
…00100101110101101011100
32122112022102012012101120212
410211332301010232231130
510121443102203001340
6110544432524431552
74153363253455412
oct445766104565534
978468365171525
1020202202000220
1164897843a4629
1223233a46a85b8
13b370a0884b06
144dbb1297b2b2
1525078b7bea65
hex125fb112eb5c

20202202000220 has 96 divisors (see below), whose sum is σ = 44197763702400. Its totient is φ = 7747125120000.

The previous prime is 20202202000213. The next prime is 20202202000223. The reversal of 20202202000220 is 2200020220202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20202202000195 and 20202202000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202202000223) 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, 202172270 + ... + 202272170.

It is an arithmetic number, because the mean of its divisors is an integer number (460393371900).

Almost surely, 220202202000220 is an apocalyptic number.

20202202000220 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 20202202000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22098881851200).

20202202000220 is an abundant number, since it is smaller than the sum of its proper divisors (23995561702180).

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

20202202000220 is a wasteful number, since it uses less digits than its factorization.

20202202000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102399 (or 102397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20202202000220 its reverse (2200020220202), we get a palindrome (22402222220422).

The spelling of 20202202000220 in words is "twenty trillion, two hundred two billion, two hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 58 116 145 151 290 302 580 604 755 1510 2309 3020 4379 4618 8758 9236 11545 17516 21895 23090 43790 46180 66961 87580 99901 133922 199802 267844 334805 348659 399604 499505 669610 697318 999010 1339220 1394636 1743295 1998020 2897129 3486590 5794258 6973180 10111111 11588516 14485645 15085051 20222222 28971290 30170102 40444444 50555555 57942580 60340204 75425255 101111110 150850510 202222220 230671409 301701020 437466479 461342818 874932958 922685636 1153357045 1749865916 2187332395 2306714090 4374664790 4613428180 6689470861 8749329580 13378941722 26757883444 33447354305 34831382759 66894708610 69662765518 133789417220 139325531036 174156913795 348313827590 696627655180 1010110100011 2020220200022 4040440400044 5050550500055 10101101000110 20202202000220