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221223443144 = 23113083981517
BaseRepresentation
bin1100111000000111110…
…0011101101011001000
3210011000102221022020012
43032001330131223020
512111031200140034
6245343442051052
721661060145354
oct3160174355310
9704012838205
10221223443144
1185902959160
1236a5b349a88
1317b27308962
14a9c8a7a464
155b4b80bcce
hex3381f1dac8

221223443144 has 32 divisors (see below), whose sum is σ = 452522721600. Its totient is φ = 100551616320.

The previous prime is 221223443123. The next prime is 221223443167. The reversal of 221223443144 is 441344322122.

It is a happy number.

221223443144 is digitally balanced in base 2, 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 221223443144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2673074 + ... + 2754590.

It is an arithmetic number, because the mean of its divisors is an integer number (14141335050).

Almost surely, 2221223443144 is an apocalyptic number.

It is an amenable number.

221223443144 is an abundant number, since it is smaller than the sum of its proper divisors (231299278456).

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

221223443144 is a wasteful number, since it uses less digits than its factorization.

221223443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112373 (or 112369 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 221223443144 its reverse (441344322122), we get a palindrome (662567765266).

The spelling of 221223443144 in words is "two hundred twenty-one billion, two hundred twenty-three million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 30839 61678 81517 123356 163034 246712 326068 339229 652136 678458 896687 1356916 1793374 2713832 3586748 7173496 2513902763 5027805526 10055611052 20111222104 27652930393 55305860786 110611721572 221223443144