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229909680 = 2432571121329
BaseRepresentation
bin11011011010000…
…10010010110000
3121000121121210100
431231002102300
5432324102210
634451432400
75461125420
oct1555022260
9530547710
10229909680
11108861600
1264bb5700
133882a140
142276a480
15152b65c0
hexdb424b0

229909680 has 720 divisors, whose sum is σ = 1080555840. Its totient is φ = 42577920.

The previous prime is 229909663. The next prime is 229909697. The reversal of 229909680 is 86909922.

It is an interprime number because it is at equal distance from previous prime (229909663) and next prime (229909697).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7927906 + ... + 7927934.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2229909680 is an apocalyptic number.

229909680 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 229909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

229909680 is an abundant number, since it is smaller than the sum of its proper divisors (850646160).

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

229909680 is a wasteful number, since it uses less digits than its factorization.

229909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 229909680 is about 15162.7728334893. The cubic root of 229909680 is about 612.6123564533.

It can be divided in two parts, 229 and 909680, that added together give a palindrome (909909).

The spelling of 229909680 in words is "two hundred twenty-nine million, nine hundred nine thousand, six hundred eighty".