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221002202052 = 2232293124592777
BaseRepresentation
bin1100110111010011000…
…0011111101111000100
3210010110000122002111200
43031310300133233010
512110103030431202
6245305500102500
721652432502532
oct3156460375704
9703400562450
10221002202052
11857a9a88485
12369b9234a30
1317ac0525378
14a9a7529152
155b371a8e1c
hex3374c1fbc4

221002202052 has 144 divisors (see below), whose sum is σ = 597007756800. Its totient is φ = 68779952640.

The previous prime is 221002202009. The next prime is 221002202053. The reversal of 221002202052 is 250202200122.

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

It is not an unprimeable number, because it can be changed into a prime (221002202053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79581688 + ... + 79584464.

It is an arithmetic number, because the mean of its divisors is an integer number (4145887200).

Almost surely, 2221002202052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002202052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298503878400).

221002202052 is an abundant number, since it is smaller than the sum of its proper divisors (376005554748).

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

221002202052 is a wasteful number, since it uses less digits than its factorization.

221002202052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 221002202052 its reverse (250202200122), we get a palindrome (471204402174).

The spelling of 221002202052 in words is "two hundred twenty-one billion, two million, two hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2459 2697 2777 3596 4918 5394 5554 7377 8091 8331 9836 10788 11108 14754 16182 16662 22131 24993 29508 32364 33324 44262 49986 71311 76229 80533 86087 88524 99972 142622 152458 161066 172174 213933 228687 241599 258261 285244 304916 322132 344348 427866 457374 483198 516522 641799 686061 724797 774783 855732 914748 966396 1033044 1283598 1372122 1449594 1549566 2210641 2496523 2567196 2744244 2899188 3099132 4421282 4993046 6631923 6828643 7489569 8842564 9986092 13263846 13657286 14979138 19895769 20485929 22468707 26527692 27314572 29958276 39791538 40971858 44937414 61457787 79583076 81943716 89874828 122915574 198030647 211687933 245831148 396061294 423375866 594091941 635063799 792122588 846751732 1188183882 1270127598 1782275823 1905191397 2376367764 2540255196 3564551646 3810382794 6138950057 7129103292 7620765588 12277900114 18416850171 24555800228 36833700342 55250550513 73667400684 110501101026 221002202052