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868230144 = 21033311013
BaseRepresentation
bin110011110000000…
…010010000000000
32020111201122212000
4303300002100000
53234231331034
6222053104000
730341556135
oct6360022000
92214648760
10868230144
11406103181
12202928000
1310ab51c62
148344a58c
1551353599
hex33c02400

868230144 has 176 divisors, whose sum is σ = 2656842240. Its totient is φ = 279797760.

The previous prime is 868230119. The next prime is 868230163. The reversal of 868230144 is 441032868.

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 = 868230099 and 868230108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856582 + ... + 857594.

Almost surely, 2868230144 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 868230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328421120).

868230144 is an abundant number, since it is smaller than the sum of its proper divisors (1788612096).

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

868230144 is a wasteful number, since it uses less digits than its factorization.

868230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 868230144 is about 29465.7452646289. The cubic root of 868230144 is about 953.9924844153.

The spelling of 868230144 in words is "eight hundred sixty-eight million, two hundred thirty thousand, one hundred forty-four".