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221250260550 = 235211248725031
BaseRepresentation
bin1100111000001110001…
…0110000111001000110
3210011002022101202210110
43032003202300321012
512111110031314200
6245350240533450
721661534120254
oct3160342607106
9704068352713
10221250260550
1185917005500
1236a68321286
1317b2ca38147
14a9cc45b5d4
155b4dd57b50
hex33838b0e46

221250260550 has 144 divisors (see below), whose sum is σ = 604379817216. Its totient is φ = 53524152000.

The previous prime is 221250260521. The next prime is 221250260593. The reversal of 221250260550 is 55062052122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8826535 + ... + 8851565.

It is an arithmetic number, because the mean of its divisors is an integer number (4197082064).

Almost surely, 2221250260550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221250260550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302189908608).

221250260550 is an abundant number, since it is smaller than the sum of its proper divisors (383129556666).

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

221250260550 is a wasteful number, since it uses less digits than its factorization.

221250260550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25555 (or 25539 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 221250260550 in words is "two hundred twenty-one billion, two hundred fifty million, two hundred sixty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 487 550 605 726 825 974 1210 1461 1650 1815 2435 2922 3025 3630 4870 5357 6050 7305 9075 10714 12175 14610 16071 18150 24350 25031 26785 32142 36525 50062 53570 58927 73050 75093 80355 117854 125155 133925 150186 160710 176781 250310 267850 275341 294635 353562 375465 401775 550682 589270 625775 750930 803550 826023 883905 1251550 1376705 1473175 1652046 1767810 1877325 2753410 2946350 3028751 3754650 4130115 4419525 6057502 6883525 8260230 8839050 9086253 12190097 13767050 15143755 18172506 20650575 24380194 30287510 36570291 41301150 45431265 60950485 73140582 75718775 90862530 121900970 134091067 151437550 182851455 227156325 268182134 304752425 365702910 402273201 454312650 609504850 670455335 804546402 914257275 1340910670 1475001737 1828514550 2011366005 2950003474 3352276675 4022732010 4425005211 6704553350 7375008685 8850010422 10056830025 14750017370 20113660050 22125026055 36875043425 44250052110 73750086850 110625130275 221250260550