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229769280 = 263251317192
BaseRepresentation
bin11011011001000…
…00000001000000
3121000100111012100
431230200001000
5432310104110
634444430400
75460002166
oct1554400100
9530314170
10229769280
11108776074
1264b48400
13387ab270
1422731236
1515289bc0
hexdb20040

229769280 has 504 divisors, whose sum is σ = 951094872. Its totient is φ = 50429952.

The previous prime is 229769273. The next prime is 229769311. The reversal of 229769280 is 82967922.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 212926464 = 4104^2 + 14592^2 .

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 71 ways as a sum of consecutive naturals, for example, 12093111 + ... + 12093129.

It is an arithmetic number, because the mean of its divisors is an integer number (1887093).

Almost surely, 2229769280 is an apocalyptic number.

229769280 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 229769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475547436).

229769280 is an abundant number, since it is smaller than the sum of its proper divisors (721325592).

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

229769280 is a wasteful number, since it uses less digits than its factorization.

229769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 229769280 is about 15158.1423663983. The cubic root of 229769280 is about 612.4876287936.

The spelling of 229769280 in words is "two hundred twenty-nine million, seven hundred sixty-nine thousand, two hundred eighty".