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229216680 = 233257118269
BaseRepresentation
bin11011010100110…
…01000110101000
3120222022102011200
431222121012220
5432134413210
634424524200
75452211130
oct1552310650
9528272150
10229216680
11108428980
1264920660
1338646894
1422629ac0
15151cb0c0
hexda991a8

229216680 has 192 divisors, whose sum is σ = 928886400. Its totient is φ = 47623680.

The previous prime is 229216657. The next prime is 229216681. The reversal of 229216680 is 86612922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229216681) 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 47 ways as a sum of consecutive naturals, for example, 23586 + ... + 31854.

It is an arithmetic number, because the mean of its divisors is an integer number (4837950).

Almost surely, 2229216680 is an apocalyptic number.

229216680 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 229216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464443200).

229216680 is an abundant number, since it is smaller than the sum of its proper divisors (699669720).

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

229216680 is a wasteful number, since it uses less digits than its factorization.

229216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229216680 is about 15139.9035664036. The cubic root of 229216680 is about 611.9962193794.

The spelling of 229216680 in words is "two hundred twenty-nine million, two hundred sixteen thousand, six hundred eighty".