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221104230424 = 237111291278029
BaseRepresentation
bin1100110111101011010…
…1101101000000011000
3210010201010121200010021
43031322311231000120
512110310140333144
6245323543000224
721655111643410
oct3157265550030
9703633550107
10221104230424
1185851634950
1236a27439074
1317b086c919c
14a9b6cc7640
155b4110e884
hex337ad6d018

221104230424 has 64 divisors (see below), whose sum is σ = 517269254400. Its totient is φ = 86077468800.

The previous prime is 221104230397. The next prime is 221104230427. The reversal of 221104230424 is 424032401122.

221104230424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211042304242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221104230427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 656242 + ... + 934270.

It is an arithmetic number, because the mean of its divisors is an integer number (8082332100).

Almost surely, 2221104230424 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 221104230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258634627200).

221104230424 is an abundant number, since it is smaller than the sum of its proper divisors (296165023976).

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

221104230424 is a wasteful number, since it uses less digits than its factorization.

221104230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279344 (or 279340 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 221104230424 its reverse (424032401122), we get a palindrome (645136631546).

The spelling of 221104230424 in words is "two hundred twenty-one billion, one hundred four million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1291 2582 5164 9037 10328 14201 18074 28402 36148 56804 72296 99407 113608 198814 278029 397628 556058 795256 1112116 1946203 2224232 3058319 3892406 6116638 7784812 12233276 15569624 21408233 24466552 42816466 85632932 171265864 358935439 717870878 1435741756 2512548073 2871483512 3948289829 5025096146 7896579658 10050192292 15793159316 20100384584 27638028803 31586318632 55276057606 110552115212 221104230424