Search a number
-
+
202222121200112 = 241319344831483907
BaseRepresentation
bin101101111110101110000001…
…101100110010100111110000
3222112000020122022200222210202
4231332232001230302213300
5203001201401011400422
61554031320542414332
760411031452005426
oct5576560154624760
9875006568628722
10202222121200112
1159485a135523a2
121a8200032913a8
1388ab605b1b630
1437d1862485116
15185a3dc5b0b92
hexb7eb81b329f0

202222121200112 has 80 divisors (see below), whose sum is σ = 444165004536960. Its totient is φ = 88418384683776.

The previous prime is 202222121200097. The next prime is 202222121200133. The reversal of 202222121200112 is 211002121222202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135534863 + ... + 137018769.

It is an arithmetic number, because the mean of its divisors is an integer number (5552062556712).

Almost surely, 2202222121200112 is an apocalyptic number.

It is an amenable number.

202222121200112 is an abundant number, since it is smaller than the sum of its proper divisors (241942883336848).

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

202222121200112 is a wasteful number, since it uses less digits than its factorization.

202222121200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518430 (or 1518424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202222121200112 its reverse (211002121222202), we get a palindrome (413224242422314).

The spelling of 202222121200112 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 34483 68966 137932 275864 448279 551728 655177 896558 1310354 1483907 1793116 2620708 2967814 3586232 5241416 5935628 7172464 8517301 10482832 11871256 17034602 19290791 23742512 28194233 34069204 38581582 56388466 68138408 77163164 112776932 136276816 154326328 225553864 308652656 366525029 451107728 733050058 1466100116 2932200232 5864400464 51169565081 102339130162 204678260324 409356520648 665204346053 818713041296 972221736539 1330408692106 1944443473078 2660817384212 3888886946156 5321634768424 7777773892312 10643269536848 12638882575007 15555547784624 25277765150014 50555530300028 101111060600056 202222121200112