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229214160 = 24325727389
BaseRepresentation
bin11011010100110…
…00011111010000
3120222022021201100
431222120133100
5432134323120
634424504400
75452200600
oct1552303720
9528267640
10229214160
11108426a9a
126491b100
13386456a6
1422628c00
15151ca490
hexda987d0

229214160 has 360 divisors, whose sum is σ = 917921160. Its totient is φ = 51093504.

The previous prime is 229214129. The next prime is 229214189. The reversal of 229214160 is 61412922.

229214160 is a `hidden beast` number, since 229 + 21 + 416 + 0 = 666.

229214160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 221057424 = 2856^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2292141602 = 105078262289011200, which contains 22 as substring.

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, 2575396 + ... + 2575484.

It is an arithmetic number, because the mean of its divisors is an integer number (2549781).

Almost surely, 2229214160 is an apocalyptic number.

229214160 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 229214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458960580).

229214160 is an abundant number, since it is smaller than the sum of its proper divisors (688707000).

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

229214160 is a wasteful number, since it uses less digits than its factorization.

229214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 229214160 is about 15139.8203423951. The cubic root of 229214160 is about 611.9939766164.

The spelling of 229214160 in words is "two hundred twenty-nine million, two hundred fourteen thousand, one hundred sixty".