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2220210211212 = 22327283132123567
BaseRepresentation
bin100000010011101110110…
…101110100100110001100
321212020202021012122021200
4200103232311310212030
5242333442303224322
64415541150025500
7316255610262450
oct40235665644614
97766667178250
102220210211212
11786649868884
122ba35baa8290
1313149897c1b6
147965cb36660
153cb458928ac
hex204eed7498c

2220210211212 has 144 divisors (see below), whose sum is σ = 6441750561792. Its totient is φ = 631598964480.

The previous prime is 2220210211199. The next prime is 2220210211283. The reversal of 2220210211212 is 2121120120222.

It is a happy number.

2220210211212 is a `hidden beast` number, since 2 + 220 + 21 + 0 + 211 + 212 = 666.

It is a super-4 number, since 4×22202102112124 (a number of 50 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 94196653 + ... + 94220219.

Almost surely, 22220210211212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220210211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220875280896).

2220210211212 is an abundant number, since it is smaller than the sum of its proper divisors (4221540350580).

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

2220210211212 is a wasteful number, since it uses less digits than its factorization.

2220210211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25188 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220210211212 its reverse (2121120120222), we get a palindrome (4341330331434).

The spelling of 2220210211212 in words is "two trillion, two hundred twenty billion, two hundred ten million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1321 1698 1981 2547 2642 3396 3962 3963 5094 5284 5943 7924 7926 9247 10188 11886 11889 15852 17829 18494 23567 23772 23778 27741 35658 36988 47134 47556 55482 70701 71316 83223 94268 110964 141402 164969 166446 212103 282804 329938 332892 373843 424206 494907 659876 747686 848412 989814 1121529 1484721 1495372 1979628 2243058 2616901 2969442 3364587 4486116 5233802 5938884 6669461 6729174 7850703 10467604 13338922 13458348 15701406 20008383 23552109 26677844 31132007 31402812 40016766 46686227 47104218 60025149 62264014 80033532 93372454 93396021 94208436 120050298 124528028 140058681 186744908 186792042 217924049 240100596 280117362 280188063 373584084 420176043 435848098 560234724 560376126 653772147 840352086 871696196 1120752252 1307544294 1680704172 1961316441 2615088588 3922632882 7845265764 8810357981 17620715962 26431073943 35241431924 52862147886 61672505867 79293221829 105724295772 123345011734 158586443658 185017517601 246690023468 317172887316 370035035202 555052552803 740070070404 1110105105606 2220210211212