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200212210220 = 225114767328771
BaseRepresentation
bin1011101001110110010…
…0111110001000101100
3201010210010121002012012
42322131210332020230
511240013311211340
6231550510300352
720315305464461
oct2723544761054
9633703532165
10200212210220
1177a00633950
12329767b76b8
1315b59290059
149994361668
15531bde1565
hex2e9d93e22c

200212210220 has 96 divisors (see below), whose sum is σ = 469139198976. Its totient is φ = 71147059200.

The previous prime is 200212210213. The next prime is 200212210271. The reversal of 200212210220 is 22012212002.

It is a junction number, because it is equal to n+sod(n) for n = 200212210195 and 200212210204.

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, 6944435 + ... + 6973205.

It is an arithmetic number, because the mean of its divisors is an integer number (4886866656).

Almost surely, 2200212210220 is an apocalyptic number.

200212210220 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 200212210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234569599488).

200212210220 is an abundant number, since it is smaller than the sum of its proper divisors (268926988756).

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

200212210220 is a wasteful number, since it uses less digits than its factorization.

200212210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29511 (or 29509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200212210220 its reverse (22012212002), we get a palindrome (222224422222).

The spelling of 200212210220 in words is "two hundred billion, two hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 673 940 1034 1346 2068 2585 2692 3365 5170 6730 7403 10340 13460 14806 28771 29612 31631 37015 57542 63262 74030 115084 126524 143855 148060 158155 287710 316310 316481 347941 575420 632620 632962 695882 1265924 1352237 1391764 1582405 1739705 2704474 3164810 3479410 5408948 6329620 6761185 6958820 13522370 14874607 19362883 27044740 29749214 38725766 59498428 74373035 77451532 96814415 148746070 193628830 212991713 297492140 387257660 425983426 851966852 910055501 1064958565 1820111002 2129917130 3640222004 4259834260 4550277505 9100555010 10010610511 18201110020 20021221022 40042442044 50053052555 100106105110 200212210220