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232016214528 = 29327193471091
BaseRepresentation
bin1101100000010100111…
…1100111101000000000
3211011212121102220020200
43120011033213220000
512300132122331103
6254330424405200
722522402166220
oct3300517475000
9734777386220
10232016214528
118a44111702a
1238b71916800
1318b57317a07
14b330206080
15607e0b50a3
hex36053e7a00

232016214528 has 480 divisors, whose sum is σ = 808613245440. Its totient is φ = 62563000320.

The previous prime is 232016214467. The next prime is 232016214533. The reversal of 232016214528 is 825412610232.

232016214528 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 621 + 4 + 5 + 28 = 666.

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 = 232016214492 and 232016214501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212663263 + ... + 212664353.

It is an arithmetic number, because the mean of its divisors is an integer number (1684610928).

Almost surely, 2232016214528 is an apocalyptic number.

232016214528 is a gapful number since it is divisible by the number (28) 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 232016214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404306622720).

232016214528 is an abundant number, since it is smaller than the sum of its proper divisors (576597030912).

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

232016214528 is a wasteful number, since it uses less digits than its factorization.

232016214528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 232016214528 in words is "two hundred thirty-two billion, sixteen million, two hundred fourteen thousand, five hundred twenty-eight".