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20224055042202 = 23112109463551981
BaseRepresentation
bin1001001100100110001111…
…00111011110000010011010
32122121101211011112221120010
410212103013213132002122
510122322331042322302
6111002445211142350
74155065636324154
oct446230747360232
978541734487503
1020224055042202
116497a78916500
1223276831449b6
13b3917413169b
144dcbc6dc5ad4
1525111a07016c
hex1264c79de09a

20224055042202 has 96 divisors (see below), whose sum is σ = 44964365402880. Its totient is φ = 6059150697600.

The previous prime is 20224055042111. The next prime is 20224055042231.

20224055042202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×202240550422022 (a number of 27 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 20224055042202.

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, 36363052 + ... + 36915032.

It is an arithmetic number, because the mean of its divisors is an integer number (468378806280).

Almost surely, 220224055042202 is an apocalyptic number.

20224055042202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224055042202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22482182701440).

20224055042202 is an abundant number, since it is smaller than the sum of its proper divisors (24740310360678).

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

20224055042202 is a wasteful number, since it uses less digits than its factorization.

20224055042202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552580 (or 552569 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 2022405 and 5042202, that added together give a palindrome (7064607).

The spelling of 20224055042202 in words is "twenty trillion, two hundred twenty-four billion, fifty-five million, forty-two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 463 654 726 926 1199 1389 2398 2778 3597 5093 7194 10186 13189 15279 26378 30558 39567 50467 56023 79134 100934 112046 151401 168069 302802 336138 551981 555137 1103962 1110274 1655943 1665411 3311886 3330822 6071791 6106507 12143582 12213014 18215373 18319521 36430746 36639042 60165929 66789701 120331858 133579402 180497787 200369103 255567203 360995574 400738206 511134406 661825219 766701609 1323650438 1533403218 1985475657 2811239233 3970951314 5622478466 7280077409 8433717699 14560154818 16867435398 21840232227 27856825127 30923631563 43680464454 55713650254 61847263126 83570475381 92770894689 167140950762 185541789378 306425076397 612850152794 919275229191 1838550458382 3370675840367 6741351680734 10112027521101 20224055042202