Search a number
-
+
122200200220 = 22574730496091
BaseRepresentation
bin111000111001110110…
…0110001010000011100
3102200102100020100210111
41301303230301100130
54000231222401340
6132045450215404
711554143364210
oct1616354612034
9380370210714
10122200200220
114790891110a
121b824724564
13b6a5c88ba7
145cb3636940
1532a3211aea
hex1c73b3141c

122200200220 has 96 divisors (see below), whose sum is σ = 299667916800. Its totient is φ = 40985602560.

The previous prime is 122200200211. The next prime is 122200200229. The reversal of 122200200220 is 22002002221.

It is an interprime number because it is at equal distance from previous prime (122200200211) and next prime (122200200229).

It is a self number, because there is not a number n which added to its sum of digits gives 122200200220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200200229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20059375 + ... + 20065465.

It is an arithmetic number, because the mean of its divisors is an integer number (3121540800).

Almost surely, 2122200200220 is an apocalyptic number.

122200200220 is a gapful number since it is divisible by the number (10) 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 122200200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149833958400).

122200200220 is an abundant number, since it is smaller than the sum of its proper divisors (177467716580).

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

122200200220 is a wasteful number, since it uses less digits than its factorization.

122200200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 122200200220 its reverse (22002002221), we get a palindrome (144202202441).

The spelling of 122200200220 in words is "one hundred twenty-two billion, two hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3049 3290 6091 6098 6580 12182 12196 15245 21343 24364 30455 30490 42637 42686 60910 60980 85274 85372 106715 121820 143303 170548 213185 213430 286277 286606 426370 426860 572554 573212 716515 852740 1003121 1145108 1431385 1433030 2003939 2006242 2862770 2866060 4007878 4012484 5015605 5725540 8015756 10019695 10031210 18571459 20039390 20062420 37142918 40078780 74285836 92857295 130000213 185714590 260000426 371429180 520000852 650001065 872858573 1300002130 1745717146 2600004260 3491434292 4364292865 6110010011 8728585730 12220020022 17457171460 24440040044 30550050055 61100100110 122200200220