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223545312320 = 26511257110111
BaseRepresentation
bin1101000000110001010…
…1101100010001000000
3210101000020221110221212
43100030111230101000
512130310044443240
6250410103505252
722102442542301
oct3201425542100
9711006843855
10223545312320
1186894556900
12373a8a58228
1318107369c45
14ab6919c7a8
155c3559d165
hex340c56c440

223545312320 has 168 divisors, whose sum is σ = 586191750144. Its totient is φ = 81138816000.

The previous prime is 223545312271. The next prime is 223545312371. The reversal of 223545312320 is 23213545322.

223545312320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22104065 + ... + 22114175.

It is an arithmetic number, because the mean of its divisors is an integer number (3489236608).

Almost surely, 2223545312320 is an apocalyptic number.

223545312320 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 223545312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293095875072).

223545312320 is an abundant number, since it is smaller than the sum of its proper divisors (362646437824).

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

223545312320 is a wasteful number, since it uses less digits than its factorization.

223545312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 223545312320 its reverse (23213545322), we get a palindrome (246758857642).

The spelling of 223545312320 in words is "two hundred twenty-three billion, five hundred forty-five million, three hundred twelve thousand, three hundred twenty".