Search a number
-
+
202221021212220 = 223579271115736873
BaseRepresentation
bin101101111110101101000000…
…001000101010111000111100
3222112000010210122212211002110
4231332231000020222320330
5203001142122412242340
61554031015450054020
760410662264162563
oct5576550010527074
9875003718784073
10202221021212220
11594854a964619a
121a81b956a1a310
1388ab48bc7331a
1437d179a34abda
15185a375c2d680
hexb7eb4022ae3c

202221021212220 has 96 divisors (see below), whose sum is σ = 573597726750720. Its totient is φ = 53223360053760.

The previous prime is 202221021212183. The next prime is 202221021212267. The reversal of 202221021212220 is 22212120122202.

202221021212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022210212122202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 4981704 + ... + 20718576.

It is an arithmetic number, because the mean of its divisors is an integer number (5974976320320).

Almost surely, 2202221021212220 is an apocalyptic number.

202221021212220 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 202221021212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286798863375360).

202221021212220 is an abundant number, since it is smaller than the sum of its proper divisors (371376705538500).

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

202221021212220 is a wasteful number, since it uses less digits than its factorization.

202221021212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15739675 (or 15739673 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202221021212220 its reverse (22212120122202), we get a palindrome (224433141334422).

The spelling of 202221021212220 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2711 4740 5422 8133 10844 13555 16266 27110 32532 40665 54220 81330 162660 214169 428338 642507 856676 1070845 1285014 2141690 2570028 3212535 4283380 6425070 12850140 15736873 31473746 47210619 62947492 78684365 94421238 157368730 188842476 236053095 314737460 472106190 944212380 1243212967 2486425934 3729638901 4972851868 6216064835 7459277802 12432129670 14918555604 18648194505 24864259340 37296389010 42662662703 74592778020 85325325406 127987988109 170650650812 213313313515 255975976218 426626627030 511951952436 639939940545 853253254060 1279879881090 2559759762180 3370350353537 6740700707074 10111051060611 13481401414148 16851751767685 20222102121222 33703503535370 40444204242444 50555255303055 67407007070740 101110510606110 202221021212220