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2202153052242 = 231131397218677
BaseRepresentation
bin100000000010111010100…
…011001110100001010010
321210112010211110220220010
4200002322203032201102
5242040002140132432
64403353302255350
7315046256045223
oct40027243164122
97715124426803
102202153052242
11779a22a96000
122b6960727556
1312c87b957b50
14788288ab24a
153c43a4983cc
hex200ba8ce852

2202153052242 has 128 divisors (see below), whose sum is σ = 5270860562688. Its totient is φ = 609633699840.

The previous prime is 2202153052213. The next prime is 2202153052247. The reversal of 2202153052242 is 2422503512022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2202153052247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9961008 + ... + 10179684.

It is an arithmetic number, because the mean of its divisors is an integer number (41178598146).

Almost surely, 22202153052242 is an apocalyptic number.

2202153052242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202153052242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635430281344).

2202153052242 is an abundant number, since it is smaller than the sum of its proper divisors (3068707510446).

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

2202153052242 is a wasteful number, since it uses less digits than its factorization.

2202153052242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218825 (or 218803 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2202153052242 its reverse (2422503512022), we get a palindrome (4624656564264).

The spelling of 2202153052242 in words is "two trillion, two hundred two billion, one hundred fifty-three million, fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 121 143 194 242 286 291 363 429 582 726 858 1067 1261 1331 1573 2134 2522 2662 3146 3201 3783 3993 4719 6402 7566 7986 9438 11737 13871 17303 23474 27742 34606 35211 41613 51909 70422 83226 103818 129107 152581 218677 258214 305162 387321 437354 457743 656031 774642 915486 1312062 1678391 2405447 2842801 3356782 4810894 5035173 5685602 7216341 8528403 10070346 14432682 17056806 21211669 26459917 31270811 42423338 52919834 62541622 63635007 79379751 93812433 127270014 158759502 187624866 233328359 275751697 291059087 343978921 466656718 551503394 582118174 687957842 699985077 827255091 873177261 1031936763 1399970154 1654510182 1746354522 2063873526 2566611949 3033268667 3783768131 5133223898 6066537334 7567536262 7699835847 9099806001 11351304393 15399671694 18199612002 22702608786 28232731439 33365955337 56465462878 66731910674 84698194317 100097866011 169396388634 200195732022 367025508707 734051017414 1101076526121 2202153052242