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52221006 = 23219435367
BaseRepresentation
bin1100011100110…
…1010001001110
310122021002202100
43013031101032
5101332033011
65103135530
71202604555
oct307152116
9118232670
1052221006
1127528462
12155a45a6
13aa85306
146d14d9c
1548b7d56
hex31cd44e

52221006 has 96 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 15567552.

The previous prime is 52220999. The next prime is 52221011. The reversal of 52221006 is 60012225.

52221006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×522210063 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 52221006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779385 + ... + 779451.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 252221006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52221006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

52221006 is an abundant number, since it is smaller than the sum of its proper divisors (73802034).

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

52221006 is a wasteful number, since it uses less digits than its factorization.

52221006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52221006 is about 7226.4103121813. The cubic root of 52221006 is about 373.7791550803.

It can be divided in two parts, 522 and 21006, that added together give a triangular number (21528 = T207).

The spelling of 52221006 in words is "fifty-two million, two hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 18 19 38 43 53 57 67 86 106 114 129 134 159 171 201 258 318 342 387 402 477 603 774 817 954 1007 1206 1273 1634 2014 2279 2451 2546 2881 3021 3551 3819 4558 4902 5762 6042 6837 7102 7353 7638 8643 9063 10653 11457 13674 14706 17286 18126 20511 21306 22914 25929 31959 41022 43301 51858 54739 63918 67469 86602 109478 129903 134938 152693 164217 202407 259806 305386 328434 389709 404814 458079 492651 607221 779418 916158 985302 1214442 1374237 2748474 2901167 5802334 8703501 17407002 26110503 52221006