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223715045376 = 2123253671709
BaseRepresentation
bin1101000001011001110…
…1001011000000000000
3210101110002022210221100
43100112131023000000
512131132022423001
6250435005454400
722106603336664
oct3202635130000
9711402283840
10223715045376
1186971346859
1237435871400
13181335878c4
14ab839428a4
155c45429586
hex341674b000

223715045376 has 312 divisors, whose sum is σ = 668619534960. Its totient is φ = 72030486528.

The previous prime is 223715045371. The next prime is 223715045431. The reversal of 223715045376 is 673540517322.

223715045376 is a `hidden beast` number, since 2 + 2 + 3 + 71 + 504 + 5 + 3 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (223715045371) by changing a digit.

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, 130903210 + ... + 130904918.

It is an arithmetic number, because the mean of its divisors is an integer number (2143011330).

Almost surely, 2223715045376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223715045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334309767480).

223715045376 is an abundant number, since it is smaller than the sum of its proper divisors (444904489584).

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

223715045376 is a wasteful number, since it uses less digits than its factorization.

223715045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 223715045376 in words is "two hundred twenty-three billion, seven hundred fifteen million, forty-five thousand, three hundred seventy-six".