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221641043412 = 2231779109126173
BaseRepresentation
bin1100111001101011010…
…1011110110111010100
3210012002112201121002210
43032122311132313110
512112410101342122
6245453120433420
722004320533015
oct3163265366724
9705075647083
10221641043412
1185aa7655448
1236b57178870
1317b929a02c9
14aa2830300c
155b732ea40c
hex339ad5edd4

221641043412 has 96 divisors (see below), whose sum is σ = 559606924800. Its totient is φ = 68023867392.

The previous prime is 221641043399. The next prime is 221641043413. The reversal of 221641043412 is 214340146122.

221641043412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221641043412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221641043413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1693558 + ... + 1819730.

It is an arithmetic number, because the mean of its divisors is an integer number (5829238800).

Almost surely, 2221641043412 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 221641043412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279803462400).

221641043412 is an abundant number, since it is smaller than the sum of its proper divisors (337965881388).

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

221641043412 is a wasteful number, since it uses less digits than its factorization.

221641043412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126385 (or 126383 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 221641043412 its reverse (214340146122), we get a palindrome (435981189534).

The spelling of 221641043412 in words is "two hundred twenty-one billion, six hundred forty-one million, forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 109 158 204 218 237 316 327 436 474 654 948 1308 1343 1853 2686 3706 4029 5372 5559 7412 8058 8611 11118 16116 17222 22236 25833 34444 51666 103332 126173 146387 252346 292774 378519 439161 504692 585548 757038 878322 1514076 1756644 2144941 4289882 6434823 8579764 9967667 12869646 13752857 19935334 25739292 27505714 29903001 39870668 41258571 55011428 59806002 82517142 119612004 165034284 169450339 233798569 338900678 467597138 508351017 677801356 701395707 935194276 1016702034 1086475703 1402791414 2033404068 2172951406 2805582828 3259427109 4345902812 6518854218 13037708436 18470086951 36940173902 55410260853 73880347804 110820521706 221641043412