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223331855040 = 26325731973163
BaseRepresentation
bin1100111111111110011…
…1011010101011000000
3210100110101021201121200
43033333213122223000
512124340423330130
6250333000421200
722064241306000
oct3177747325300
9710411251550
10223331855040
1186795012228
1237349477800
13180a2080568
14ab48ab6000
155c21986760
hex33ff9daac0

223331855040 has 1344 divisors, whose sum is σ = 961753728000. Its totient is φ = 47405481984.

The previous prime is 223331855029. The next prime is 223331855041. The reversal of 223331855040 is 40558133322.

223331855040 is a `hidden beast` number, since 2 + 2 + 33 + 31 + 8 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 223331854986 and 223331855004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223331855041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1370133999 + ... + 1370134161.

Almost surely, 2223331855040 is an apocalyptic number.

223331855040 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 223331855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480876864000).

223331855040 is an abundant number, since it is smaller than the sum of its proper divisors (738421872960).

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

223331855040 is a wasteful number, since it uses less digits than its factorization.

223331855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 223331855040 its reverse (40558133322), we get a palindrome (263889988362).

The spelling of 223331855040 in words is "two hundred twenty-three billion, three hundred thirty-one million, eight hundred fifty-five thousand, forty".