Search a number
-
+
221366796 = 223719532617
BaseRepresentation
bin11010011000111…
…00101000001100
3120102112121011020
431030130220030
5423132214141
633544354140
75325405150
oct1514345014
9512477136
10221366796
11103a57172
1262175950
1336b28891
1421585060
151467a266
hexd31ca0c

221366796 has 96 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 58765824.

The previous prime is 221366791. The next prime is 221366797. The reversal of 221366796 is 697663122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (221366791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83280 + ... + 85896.

It is an arithmetic number, because the mean of its divisors is an integer number (6597360).

Almost surely, 2221366796 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 221366796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

221366796 is an abundant number, since it is smaller than the sum of its proper divisors (411979764).

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

221366796 is a wasteful number, since it uses less digits than its factorization.

221366796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 221366796 is about 14878.4003172384. The cubic root of 221366796 is about 604.9286585732.

The spelling of 221366796 in words is "two hundred twenty-one million, three hundred sixty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 53 57 76 84 106 114 133 159 212 228 266 318 371 399 532 636 742 798 1007 1113 1484 1596 2014 2226 2617 3021 4028 4452 5234 6042 7049 7851 10468 12084 14098 15702 18319 21147 28196 31404 36638 42294 49723 54957 73276 84588 99446 109914 138701 149169 198892 219828 277402 298338 348061 416103 554804 596676 696122 832206 970907 1044183 1392244 1664412 1941814 2088366 2635319 2912721 3883628 4176732 5270638 5825442 7905957 10541276 11650884 15811914 18447233 31623828 36894466 55341699 73788932 110683398 221366796