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216234752 = 28612227
BaseRepresentation
bin11001110001101…
…11101100000000
3120001212212022112
430320313230000
5420324003002
633242354452
75233652006
oct1470675400
9501785275
10216234752
11101071408
12604bba28
1335a4c976
1420a0aa76
1513eb4852
hexce37b00

216234752 has 54 divisors (see below), whose sum is σ = 440749764. Its totient is φ = 105876480.

The previous prime is 216234751. The next prime is 216234761. The reversal of 216234752 is 257432612.

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

It is not an unprimeable number, because it can be changed into a prime (216234751) 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 5 ways as a sum of consecutive naturals, for example, 952463 + ... + 952689.

Almost surely, 2216234752 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 216234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220374882).

216234752 is an abundant number, since it is smaller than the sum of its proper divisors (224515012).

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

216234752 is an frugal number, since it uses more digits than its factorization.

216234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 290 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 216234752 is about 14704.9227131597. The cubic root of 216234752 is about 600.2172842660.

The spelling of 216234752 in words is "two hundred sixteen million, two hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 227 244 256 454 488 908 976 1816 1952 3632 3721 3904 7264 7442 7808 13847 14528 14884 15616 27694 29056 29768 55388 58112 59536 110776 119072 221552 238144 443104 476288 844667 886208 952576 1689334 1772416 3378668 3544832 6757336 13514672 27029344 54058688 108117376 216234752