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223043420400 = 243521738328547
BaseRepresentation
bin1100111110111001101…
…1001000000011110000
3210022201021112201200020
43033232123020003300
512123243103423100
6250244214323440
722054136535453
oct3175633100360
9708637481606
10223043420400
1186657217a99
1237288959580
13180573a1988
14ab1c67349a
155c064ae5a0
hex33ee6c80f0

223043420400 has 240 divisors, whose sum is σ = 758512594944. Its totient is φ = 55831408640.

The previous prime is 223043420399. The next prime is 223043420401. The reversal of 223043420400 is 4024340322.

223043420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223043420399) and next prime (223043420401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2230434204002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223043420401) 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 47 ways as a sum of consecutive naturals, for example, 7798927 + ... + 7827473.

Almost surely, 2223043420400 is an apocalyptic number.

223043420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223043420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379256297472).

223043420400 is an abundant number, since it is smaller than the sum of its proper divisors (535469174544).

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

223043420400 is a wasteful number, since it uses less digits than its factorization.

223043420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968 (or 28957 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 223043420400 its reverse (4024340322), we get a palindrome (227067760722).

The spelling of 223043420400 in words is "two hundred twenty-three billion, forty-three million, four hundred twenty thousand, four hundred".