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20302022334 = 23114746114197
BaseRepresentation
bin10010111010000110…
…000100011010111110
31221101212211121000010
4102322012010122332
5313034304203314
613154314444050
71316050225326
oct227206043276
957355747003
1020302022334
118678a64960
123b27133626
131bb7133089
14da8464286
157dc529059
hex4ba1846be

20302022334 has 64 divisors (see below), whose sum is σ = 45339098112. Its totient is φ = 6007747200.

The previous prime is 20302022333. The next prime is 20302022341. The reversal of 20302022334 is 43322020302.

It is a super-2 number, since 2×203020223342 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20302022334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302022333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1422924 + ... + 1437120.

It is an arithmetic number, because the mean of its divisors is an integer number (708423408).

Almost surely, 220302022334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302022334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22669549056).

20302022334 is an abundant number, since it is smaller than the sum of its proper divisors (25037075778).

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

20302022334 is a wasteful number, since it uses less digits than its factorization.

20302022334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 20302022334 its reverse (43322020302), we get a palindrome (63624042636).

The spelling of 20302022334 in words is "twenty billion, three hundred two million, twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 461 517 922 1034 1383 1551 2766 3102 5071 10142 14197 15213 21667 28394 30426 42591 43334 65001 85182 130002 156167 238337 312334 468501 476674 667259 715011 937002 1334518 1430022 2001777 4003554 6544817 7339849 13089634 14679698 19634451 22019547 39268902 44039094 71992987 143985974 215978961 307606399 431957922 615212798 922819197 1845638394 3383670389 6767340778 10151011167 20302022334