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229585090 = 2572617681
BaseRepresentation
bin11011010111100…
…11000011000010
3121000000010112111
431223303003002
5432233210330
634440445534
75455304200
oct1553630302
9530003474
10229585090
1110865a749
1264a798aa
1338745487
14226c4070
151525032a
hexdaf30c2

229585090 has 48 divisors (see below), whose sum is σ = 488667384. Its totient is φ = 77414400.

The previous prime is 229585063. The next prime is 229585093. The reversal of 229585090 is 90585922.

229585090 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 142778601 + 86806489 = 11949^2 + 9317^2 .

It is not an unprimeable number, because it can be changed into a prime (229585093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26050 + ... + 33730.

Almost surely, 2229585090 is an apocalyptic number.

229585090 is an abundant number, since it is smaller than the sum of its proper divisors (259082294).

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

229585090 is a wasteful number, since it uses less digits than its factorization.

229585090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 229585090 is about 15152.0655357611. The cubic root of 229585090 is about 612.3239221762.

The spelling of 229585090 in words is "two hundred twenty-nine million, five hundred eighty-five thousand, ninety".

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 305 427 490 610 854 2135 2989 4270 5978 7681 14945 15362 29890 38405 53767 76810 107534 268835 376369 468541 537670 752738 937082 1881845 2342705 3279787 3763690 4685410 6559574 16398935 22958509 32797870 45917018 114792545 229585090