Search a number
-
+
22221033233031 = 33172329311236397
BaseRepresentation
bin1010000110101101111001…
…10010101101101010000111
32220200022101000022222122000
411003112330302231222013
510403032134001424111
6115132111324240343
74452262630014033
oct503267462555207
986608330288560
1022221033233031
117097983a60336
1225aa7030a00b3
13c52585616799
1456b70a3d31c3
15288047aebc56
hex1435bccada87

22221033233031 has 128 divisors (see below), whose sum is σ = 36534369392640. Its totient is φ = 13276980946944.

The previous prime is 22221033233027. The next prime is 22221033233041. The reversal of 22221033233031 is 13033233012222.

22221033233031 is a `hidden beast` number, since 2 + 2 + 2 + 21 + 0 + 332 + 3 + 303 + 1 = 666.

It is not a de Polignac number, because 22221033233031 - 22 = 22221033233027 is a prime.

It is a super-2 number, since 2×222210332330312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22221033232986 and 22221033233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221033233041) 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, 3473661525 + ... + 3473667921.

It is an arithmetic number, because the mean of its divisors is an integer number (285424760880).

Almost surely, 222221033233031 is an apocalyptic number.

22221033233031 is a deficient number, since it is larger than the sum of its proper divisors (14313336159609).

22221033233031 is a wasteful number, since it uses less digits than its factorization.

22221033233031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22221033233031 its reverse (13033233012222), we get a palindrome (35254266245253).

The spelling of 22221033233031 in words is "twenty-two trillion, two hundred twenty-one billion, thirty-three million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 17 23 27 51 69 153 207 293 391 459 621 879 1123 1173 2637 3369 3519 4981 6397 6739 7911 10107 10557 14943 19091 19191 20217 25829 30321 44829 57273 57573 60651 77487 108749 114563 134487 147131 171819 172719 181953 232461 326247 329039 343689 439093 441393 515457 697383 978741 987117 1031067 1317279 1324179 1874321 2501227 2936223 2961351 3093201 3951837 3972537 5593663 5622963 7183831 7503681 7567897 8884053 11855511 16780989 16868889 21551493 22511043 22703691 31863457 43109383 50342967 50606667 64654479 67533129 68111073 95590371 122125127 128654249 129328149 151028901 165228113 193963437 204333219 286771113 366375381 385962747 387984447 495684339 732859511 860313339 1099126143 1157888241 1163953341 1487053017 2104862483 2198578533 2808877921 3297378429 3473664723 4461159051 6314587449 6595735599 8426633763 18943762347 19787206797 25279901289 35782662211 48411837109 56831287041 75839703867 107347986633 145235511327 322043959899 435706533981 823001230853 966131879697 1307119601943 2469003692559 7407011077677 22221033233031