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20132210220 = 22351735954979
BaseRepresentation
bin10010101111111110…
…010010011000101100
31220222001022020120120
4102233332102120230
5312212321211340
613125411044540
71311615651303
oct225776223054
956861266516
1020132210220
1185a1120571
123a9a2a0750
131b8abb8435
14d8da9d43a
157cc6844d0
hex4aff9262c

20132210220 has 96 divisors (see below), whose sum is σ = 59853427200. Its totient is φ = 5038623744.

The previous prime is 20132210207. The next prime is 20132210227. The reversal of 20132210220 is 2201223102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20132210220.

It is not an unprimeable number, because it can be changed into a prime (20132210227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338691 + ... + 393669.

It is an arithmetic number, because the mean of its divisors is an integer number (623473200).

Almost surely, 220132210220 is an apocalyptic number.

20132210220 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 20132210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926713600).

20132210220 is an abundant number, since it is smaller than the sum of its proper divisors (39721216980).

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

20132210220 is a wasteful number, since it uses less digits than its factorization.

20132210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55367 (or 55365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20132210220 its reverse (2201223102), we get a palindrome (22333433322).

The spelling of 20132210220 in words is "twenty billion, one hundred thirty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 359 510 718 1020 1077 1436 1795 2154 3590 4308 5385 6103 7180 10770 12206 18309 21540 24412 30515 36618 54979 61030 73236 91545 109958 122060 164937 183090 219916 274895 329874 366180 549790 659748 824685 934643 1099580 1649370 1869286 2803929 3298740 3738572 4673215 5607858 9346430 11215716 14019645 18692860 19737461 28039290 39474922 56078580 59212383 78949844 98687305 118424766 197374610 236849532 296061915 335536837 394749220 592123830 671073674 1006610511 1184247660 1342147348 1677684185 2013221022 3355368370 4026442044 5033052555 6710736740 10066105110 20132210220