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221074260 = 223511237823
BaseRepresentation
bin11010010110101…
…01001101010100
3120101222201212120
431023111031110
5423043334020
633534215540
75323046241
oct1513251524
9511881776
10221074260
11103877400
12620545b0
1336a55694
142150a5c8
151461d740
hexd2d5354

221074260 has 144 divisors (see below), whose sum is σ = 699635328. Its totient is φ = 52081920.

The previous prime is 221074247. The next prime is 221074267. The reversal of 221074260 is 62470122.

221074260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221074260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221074267) 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, 268209 + ... + 269031.

Almost surely, 2221074260 is an apocalyptic number.

221074260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221074260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349817664).

221074260 is an abundant number, since it is smaller than the sum of its proper divisors (478561068).

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

221074260 is a wasteful number, since it uses less digits than its factorization.

221074260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 221074260 is about 14868.5661716253. The cubic root of 221074260 is about 604.6620702337.

The spelling of 221074260 in words is "two hundred twenty-one million, seventy-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 484 555 605 660 726 740 814 823 1110 1210 1221 1452 1628 1646 1815 2035 2220 2420 2442 2469 3292 3630 4070 4115 4477 4884 4938 6105 7260 8140 8230 8954 9053 9876 12210 12345 13431 16460 17908 18106 22385 24420 24690 26862 27159 30451 36212 44770 45265 49380 53724 54318 60902 67155 89540 90530 91353 99583 108636 121804 134310 135795 152255 181060 182706 199166 268620 271590 298749 304510 334961 365412 398332 456765 497915 543180 597498 609020 669922 913530 995830 1004883 1194996 1339844 1493745 1674805 1827060 1991660 2009766 2987490 3349610 3684571 4019532 5024415 5974980 6699220 7369142 10048830 11053713 14738284 18422855 20097660 22107426 36845710 44214852 55268565 73691420 110537130 221074260