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20002133220 = 22355320893011
BaseRepresentation
bin10010101000001110…
…000101010011100100
31220121222112122110220
4102220032011103210
5311431021230340
613104443044340
71305446220126
oct225016052344
956558478426
1020002133220
118534756813
123a628106b0
131b69c738b4
14d7a6bd216
157c103ced0
hex4a83854e4

20002133220 has 96 divisors (see below), whose sum is σ = 57108965760. Its totient is φ = 5229020160.

The previous prime is 20002133197. The next prime is 20002133237. The reversal of 20002133220 is 2233120002.

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 20002133220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6641515 + ... + 6644525.

It is an arithmetic number, because the mean of its divisors is an integer number (594885060).

Almost surely, 220002133220 is an apocalyptic number.

20002133220 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 20002133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554482880).

20002133220 is an abundant number, since it is smaller than the sum of its proper divisors (37106832540).

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

20002133220 is a wasteful number, since it uses less digits than its factorization.

20002133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20002133220 its reverse (2233120002), we get a palindrome (22235253222).

The spelling of 20002133220 in words is "twenty billion, two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2089 3011 3180 4178 6022 6267 8356 9033 10445 12044 12534 15055 18066 20890 25068 30110 31335 36132 41780 45165 60220 62670 90330 110717 125340 159583 180660 221434 319166 332151 442868 478749 553585 638332 664302 797915 957498 1107170 1328604 1595830 1660755 1914996 2214340 2393745 3191660 3321510 4787490 6289979 6643020 9574980 12579958 18869937 25159916 31449895 37739874 62899790 75479748 94349685 125799580 188699370 333368887 377398740 666737774 1000106661 1333475548 1666844435 2000213322 3333688870 4000426644 5000533305 6667377740 10001066610 20002133220