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223340440464 = 24321550975281
BaseRepresentation
bin1101000000000000100…
…0001010101110010000
3210100110222102220121100
43100000020022232100
512124400123043324
6250333504424400
722064404264251
oct3200010125620
9710428386540
10223340440464
1186799946619
1237350318100
13180a3a982ab
14ab49cacb28
155c225d04c9
hex340020ab90

223340440464 has 30 divisors (see below), whose sum is σ = 625043038646. Its totient is φ = 74446813440.

The previous prime is 223340440397. The next prime is 223340440481. The reversal of 223340440464 is 464044043322.

223340440464 is digitally balanced in base 3, 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 only one way, i.e., 128229880464 + 95110560000 = 358092^2 + 308400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 775487497 + ... + 775487784.

Almost surely, 2223340440464 is an apocalyptic number.

223340440464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223340440464 is an abundant number, since it is smaller than the sum of its proper divisors (401702598182).

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

223340440464 is a wasteful number, since it uses less digits than its factorization.

223340440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550975295 (or 1550975286 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 223340440464 its reverse (464044043322), we get a palindrome (687384483786).

The spelling of 223340440464 in words is "two hundred twenty-three billion, three hundred forty million, four hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1550975281 3101950562 4652925843 6203901124 9305851686 12407802248 13958777529 18611703372 24815604496 27917555058 37223406744 55835110116 74446813488 111670220232 223340440464