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200133223323222 = 237231512632152127
BaseRepresentation
bin101101100000010100100101…
…101011110001011001010110
3222020121112211102211002101210
4231200110211223301121112
5202212440320132320342
61545351533351402250
760104101562011620
oct5540244553613126
9866545742732353
10200133223323222
1158850029115972
121a5431ab683386
138789635baa157
14375c6dd229c10
151820dcedab79c
hexb60525af1656

200133223323222 has 128 divisors (see below), whose sum is σ = 480525025148928. Its totient is φ = 54329470272000.

The previous prime is 200133223323109. The next prime is 200133223323227. The reversal of 200133223323222 is 222323322331002.

It is a super-2 number, since 2×2001332233232222 (a number of 29 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 200133223323222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133223323227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3839312923 + ... + 3839365049.

It is an arithmetic number, because the mean of its divisors is an integer number (3754101758976).

Almost surely, 2200133223323222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200133223323222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240262512574464).

200133223323222 is an abundant number, since it is smaller than the sum of its proper divisors (280391801825706).

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

200133223323222 is a wasteful number, since it uses less digits than its factorization.

200133223323222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78634.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 200133223323222 its reverse (222323322331002), we get a palindrome (422456545654224).

The spelling of 200133223323222 in words is "two hundred trillion, one hundred thirty-three billion, two hundred twenty-three million, three hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 151 161 302 322 453 483 906 966 1057 2114 3171 3473 6342 6946 10419 20838 24311 26321 48622 52127 52642 72933 78963 104254 145866 156381 157926 184247 312762 364889 368494 552741 605383 729778 1094667 1105482 1198921 1210766 1816149 2189334 2397842 3596763 3632298 3974471 4237681 7193526 7871177 7948942 8392447 8475362 11923413 12713043 15742354 16784894 23613531 23846826 25177341 25426086 27821297 47227062 50354682 55098239 55642594 83463891 91412833 110196478 165294717 166927782 181037071 182825666 274238499 330589434 362074142 543111213 548476998 639889831 1086222426 1267259497 1279779662 1372034767 1919669493 2534518994 2744069534 3801778491 3839338986 4116104301 7603556982 8232208602 9604243369 19208486738 28812730107 31556799641 57625460214 63113599282 94670398923 189340797846 207177249817 220897597487 414354499634 441795194974 621531749451 662692792461 1243063498902 1325385584922 1450240748719 2900481497438 4350722246157 4765076745791 8701444492314 9530153491582 14295230237373 28590460474746 33355537220537 66711074441074 100066611661611 200133223323222