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223013344104 = 233219715722881
BaseRepresentation
bin1100111110110010100…
…0011001001101101000
3210022122011221200202100
43033230220121031220
512123212404002404
6250241221533400
722053323101455
oct3175450311550
9708564850670
10223013344104
1186641245251
123727a874260
13180510a1055
14ab1868482c
155c03a1cd39
hex33eca19368

223013344104 has 48 divisors (see below), whose sum is σ = 607060474020. Its totient is φ = 73960427520.

The previous prime is 223013344087. The next prime is 223013344111. The reversal of 223013344104 is 401443310322.

223013344104 is a `hidden beast` number, since 2 + 2 + 301 + 3 + 344 + 10 + 4 = 666.

223013344104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 187480340100 + 35533004004 = 432990^2 + 188502^2 .

It is a super-2 number, since 2×2230133441042 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7847257 + ... + 7875624.

Almost surely, 2223013344104 is an apocalyptic number.

223013344104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223013344104 is an abundant number, since it is smaller than the sum of its proper divisors (384047129916).

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

223013344104 is a wasteful number, since it uses less digits than its factorization.

223013344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723090 (or 15723083 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223013344104 its reverse (401443310322), we get a palindrome (624456654426).

The spelling of 223013344104 in words is "two hundred twenty-three billion, thirteen million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 15722881 31445762 47168643 62891524 94337286 125783048 141505929 188674572 283011858 377349144 566023716 1132047432 3097407557 6194815114 9292222671 12389630228 18584445342 24779260456 27876668013 37168890684 55753336026 74337781368 111506672052 223013344104