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229729472 = 267796491
BaseRepresentation
bin11011011000101…
…10010011000000
3121000021110120222
431230112103000
5432302320342
634443522212
75456445140
oct1554262300
9530243528
10229729472
11108749175
1264b29368
13387960cb
1422720920
151527ced2
hexdb164c0

229729472 has 56 divisors (see below), whose sum is σ = 527669760. Its totient is φ = 97194240.

The previous prime is 229729459. The next prime is 229729481. The reversal of 229729472 is 274927922.

229729472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32147 + ... + 38637.

Almost surely, 2229729472 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 229729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263834880).

229729472 is an abundant number, since it is smaller than the sum of its proper divisors (297940288).

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

229729472 is an equidigital number, since it uses as much as digits as its factorization.

229729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6579 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 229729472 is about 15156.8292198599. The cubic root of 229729472 is about 612.4522551705.

The spelling of 229729472 in words is "two hundred twenty-nine million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 6491 8848 12982 17696 25964 35392 45437 51928 90874 103856 181748 207712 363496 415424 512789 726992 1025578 1453984 2051156 2907968 3589523 4102312 7179046 8204624 14358092 16409248 28716184 32818496 57432368 114864736 229729472