Search a number
-
+
222231222132222 = 234110127133004967
BaseRepresentation
bin110010100001111000111101…
…000011011001110111111110
31002010212002121222011202022010
4302201320331003121313332
5213112014020331212342
62104351340345232050
764544450565465162
oct6241707503316776
91063762558152263
10222231222132222
116489a806379426
1220b11a96792626
1397004117614a4
143cc40972acca2
151aa5b2640e29c
hexca1e3d0d9dfe

222231222132222 has 64 divisors (see below), whose sum is σ = 461507675424768. Its totient is φ = 71290726560000.

The previous prime is 222231222132203. The next prime is 222231222132251.

222231222132222 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222231222132222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9769218 + ... + 23235749.

It is an arithmetic number, because the mean of its divisors is an integer number (7211057428512).

Almost surely, 2222231222132222 is an apocalyptic number.

222231222132222 is an abundant number, since it is smaller than the sum of its proper divisors (239276453292546).

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

222231222132222 is a wasteful number, since it uses less digits than its factorization.

222231222132222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005385.

The product of its digits is 18432, while the sum is 30.

The spelling of 222231222132222 in words is "two hundred twenty-two trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 41 82 101 123 202 246 271 303 542 606 813 1626 4141 8282 11111 12423 22222 24846 27371 33333 54742 66666 82113 164226 1122211 2244422 3366633 6733266 33004967 66009934 99014901 198029802 1353203647 2706407294 3333501667 4059610941 6667003334 8119221882 8944346057 10000505001 17888692114 20001010002 26833038171 53666076342 136673568347 273347136694 366718188337 410020705041 733436376674 820041410082 903378951757 1100154565011 1806757903514 2200309130022 2710136855271 5420273710542 37038537022037 74077074044074 111115611066111 222231222132222