Search a number
-
+
222222121122210 = 235115933377341959
BaseRepresentation
bin110010100001110000011110…
…100101110011100110100010
31002010211020010201000112121020
4302201300132211303212202
5213111341401001402320
62104343233315110310
764544006215254246
oct6241603645634642
91063736121015536
10222222121122210
1164896966066950
1220b101768a2396
1396cc5c10a5a71
143cc38726c2426
151aa579242d940
hexca1c1e9739a2

222222121122210 has 128 divisors (see below), whose sum is σ = 591698695219200. Its totient is φ = 52957202565120.

The previous prime is 222222121122191. The next prime is 222222121122251. The reversal of 222222121122210 is 12221121222222.

It is a happy number.

It is a super-2 number, since 2×2222221211222102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649679211 + ... + 650021169.

It is an arithmetic number, because the mean of its divisors is an integer number (4622646056400).

Almost surely, 2222222121122210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222222121122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295849347609600).

222222121122210 is an abundant number, since it is smaller than the sum of its proper divisors (369476574096990).

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

222222121122210 is a wasteful number, since it uses less digits than its factorization.

222222121122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375416.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 222222121122210 its reverse (12221121222222), we get a palindrome (234443242344432).

The spelling of 222222121122210 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3894 6490 9735 19470 33377 66754 100131 166885 200262 333770 341959 367147 500655 683918 734294 1001310 1025877 1101441 1709795 1835735 1969243 2051754 2202882 3419590 3671470 3761549 3938486 5129385 5507205 5907729 7523098 9846215 10258770 11014410 11284647 11815458 18807745 19692430 20175581 21661673 22569294 29538645 37615490 40351162 43323346 56423235 59077290 60526743 64985019 100877905 108308365 112846470 121053486 129970038 201755810 216616730 221931391 302633715 324925095 443862782 605267430 649850190 665794173 1109656955 1331588346 2219313910 3328970865 6657941730 11413565543 22827131086 34240696629 57067827715 68481393258 114135655430 125549220973 171203483145 251098441946 342406966290 376647662919 627746104865 673400367037 753295325838 1255492209730 1346800734074 1883238314595 2020201101111 3367001835185 3766476629190 4040402202222 6734003670370 7407404037407 10101005505555 14814808074814 20202011011110 22222212112221 37037020187035 44444424224442 74074040374070 111111060561105 222222121122210