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200422431330 = 235112186729573
BaseRepresentation
bin1011101010101000011…
…0111001101001100010
3201011022210011102100020
42322222012321221202
511240431120300310
6232023420134310
720323440362142
oct2725206715142
9634283142306
10200422431330
1177aa9268100
1232a15097396
1315b909b5744
1499b4244922
1553305b9170
hex2eaa1b9a62

200422431330 has 96 divisors (see below), whose sum is σ = 529018765632. Its totient is φ = 48559589760.

The previous prime is 200422431301. The next prime is 200422431337. The reversal of 200422431330 is 33134224002.

200422431330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200422431330.

It is not an unprimeable number, because it can be changed into a prime (200422431337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6762424 + ... + 6791996.

It is an arithmetic number, because the mean of its divisors is an integer number (5510612142).

Almost surely, 2200422431330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200422431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264509382816).

200422431330 is an abundant number, since it is smaller than the sum of its proper divisors (328596334302).

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

200422431330 is a wasteful number, since it uses less digits than its factorization.

200422431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31472 (or 31461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200422431330 its reverse (33134224002), we get a palindrome (233556655332).

The spelling of 200422431330 in words is "two hundred billion, four hundred twenty-two million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 1867 3630 3734 5601 9335 11202 18670 20537 28005 29573 41074 56010 59146 61611 88719 102685 123222 147865 177438 205370 225907 295730 308055 325303 443595 451814 616110 650606 677721 887190 975909 1129535 1355442 1626515 1951818 2259070 3253030 3388605 3578333 4879545 6777210 7156666 9759090 10734999 17891665 21469998 35783330 53674995 55212791 107349990 110425582 165638373 276063955 331276746 552127910 607340701 828191865 1214681402 1656383730 1822022103 3036703505 3644044206 6073407010 6680747711 9110110515 13361495422 18220221030 20042243133 33403738555 40084486266 66807477110 100211215665 200422431330