Search a number
-
+
223210433403221 = 118997101157227653
BaseRepresentation
bin110010110000001000111010…
…100101111101100101010101
31002021022201010212221022202012
4302300020322211331211111
5213224034431422400341
62110421242453154005
765005264423115645
oct6260107245754525
91067281125838665
10223210433403221
1165138016632550
122104b81662b905
139771865b17744
143d1962a79a525
151ac1337a5c0eb
hexcb023a97d955

223210433403221 has 128 divisors (see below), whose sum is σ = 254342938913280. Its totient is φ = 194193432576000.

The previous prime is 223210433403173. The next prime is 223210433403239. The reversal of 223210433403221 is 122304334012322.

223210433403221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223210433403221 - 218 = 223210433141077 is a prime.

It is a super-3 number, since 3×2232104334032213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223210433403421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341823021731 + ... + 341823022383.

It is an arithmetic number, because the mean of its divisors is an integer number (1987054210260).

Almost surely, 2223210433403221 is an apocalyptic number.

It is an amenable number.

223210433403221 is a deficient number, since it is larger than the sum of its proper divisors (31132505510059).

223210433403221 is a wasteful number, since it uses less digits than its factorization.

223210433403221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 223210433403221 its reverse (122304334012322), we get a palindrome (345514767415543).

The spelling of 223210433403221 in words is "two hundred twenty-three trillion, two hundred ten billion, four hundred thirty-three million, four hundred three thousand, two hundred twenty-one".

Divisors: 1 11 89 97 101 157 227 653 979 1067 1111 1727 2497 7183 8633 8989 9797 13973 15229 15857 20203 22019 22927 35639 58117 63341 65953 94963 98879 102521 107767 148231 153703 167519 174427 222233 242209 252197 392029 639287 696751 725483 871933 1127731 1355381 1411273 1538129 1630541 1959691 2040503 2223919 3171871 3456983 3599539 5637349 5869817 6397441 9124369 9591263 9944537 10354621 13192559 14378407 14909191 14971331 15524003 16919419 21556601 22445533 23272267 24463109 34890581 38026813 39594929 62010839 64567987 70371851 100368059 109389907 113900831 136893481 145118149 158162477 164684641 197928791 255994937 307671487 320358971 349155283 569372249 885063793 921561269 1004398237 1279678223 1332448459 1452219107 1505828291 2071231763 2177216701 2257409899 2350498967 3384386357 3523948681 3840708113 6263094739 9735701723 10137173959 11048380607 14076460453 14656933049 15974410177 22783549393 24831508889 25855488637 31074820187 89391443093 129247500523 200909481011 209194408063 227998399799 341823022057 983305874023 1421722505753 2210004291121 2301138488693 2507982397789 20291857582111 223210433403221