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200221102212 = 223192129135801
BaseRepresentation
bin1011101001111000011…
…0111001000010000100
3201010210202022211201020
42322132012321002010
511240023100232322
6231551425031140
720315444200605
oct2723606710204
9633722284636
10200221102212
1177a056575aa
12329797854b0
1315b5b0844a1
1499955d7dac
15531ca9b05c
hex2e9e1b9084

200221102212 has 72 divisors (see below), whose sum is σ = 493460970912. Its totient is φ = 63176976000.

The previous prime is 200221102189. The next prime is 200221102241. The reversal of 200221102212 is 212201122002.

It is a junction number, because it is equal to n+sod(n) for n = 200221102191 and 200221102200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5574712 + ... + 5610512.

It is an arithmetic number, because the mean of its divisors is an integer number (6853624596).

Almost surely, 2200221102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200221102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246730485456).

200221102212 is an abundant number, since it is smaller than the sum of its proper divisors (293239868700).

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

200221102212 is a wasteful number, since it uses less digits than its factorization.

200221102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37137 (or 37116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200221102212 its reverse (212201122002), we get a palindrome (412422224214).

The spelling of 200221102212 in words is "two hundred billion, two hundred twenty-one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1291 1444 2166 2582 3873 4332 5164 7746 15492 24529 35801 49058 71602 73587 98116 107403 143204 147174 214806 294348 429612 466051 680219 932102 1360438 1398153 1864204 2040657 2720876 2796306 4081314 5592612 8162628 12924161 25848322 38772483 46219091 51696644 77544966 92438182 138657273 155089932 184876364 277314546 554629092 878162729 1756325458 2634488187 3512650916 5268976374 10537952748 16685091851 33370183702 50055275553 66740367404 100110551106 200221102212