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200200001022 = 232727729319577
BaseRepresentation
bin1011101001110011011…
…0011001010111111110
3201010202021121210022200
42322130312121113332
511240002200013042
6231545352452330
720315066634240
oct2723466312776
9633667553280
10200200001022
11779a47549aa
12329726aa0a6
1315b568a6a88
1499928a4090
15531accdc4c
hex2e9cd995fe

200200001022 has 96 divisors (see below), whose sum is σ = 499246517952. Its totient is φ = 56796083712.

The previous prime is 200200001017. The next prime is 200200001069. The reversal of 200200001022 is 220100002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200200000995 and 200200001013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10216498 + ... + 10236074.

It is an arithmetic number, because the mean of its divisors is an integer number (5200484562).

Almost surely, 2200200001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249623258976).

200200001022 is an abundant number, since it is smaller than the sum of its proper divisors (299046516930).

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

200200001022 is a wasteful number, since it uses less digits than its factorization.

200200001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200200001022 its reverse (220100002002), we get a palindrome (420300003024).

The spelling of 200200001022 in words is "two hundred billion, two hundred million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 277 293 554 586 831 879 1662 1758 1939 2051 2493 2637 3878 4102 4986 5274 5817 6153 11634 12306 17451 18459 19577 34902 36918 39154 58731 81161 117462 137039 162322 176193 243483 274078 352386 411117 486966 568127 730449 822234 1136254 1233351 1460898 1704381 2466702 3408762 5113143 5422829 5736061 10226286 10845658 11472122 16268487 17208183 32536974 34416366 37959803 40152427 48805461 51624549 75919606 80304854 97610922 103249098 113879409 120457281 227758818 240914562 341638227 361371843 683276454 722743686 1588888897 3177777794 4766666691 9533333382 11122222279 14300000073 22244444558 28600000146 33366666837 66733333674 100100000511 200200001022