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229259136 = 2733119259
BaseRepresentation
bin11011010101000…
…11011110000000
3120222101120102010
431222203132000
5432142243021
634425452520
75452445661
oct1552433600
9528346363
10229259136
11108457867
1264941140
133865ccc2
142263b368
15151d8976
hexdaa3780

229259136 has 64 divisors (see below), whose sum is σ = 628646400. Its totient is φ = 73950720.

The previous prime is 229259131. The next prime is 229259159. The reversal of 229259136 is 631952922.

229259136 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 229259094 and 229259103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229259131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2275 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (9822600).

Almost surely, 2229259136 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 229259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314323200).

229259136 is an abundant number, since it is smaller than the sum of its proper divisors (399387264).

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

229259136 is a wasteful number, since it uses less digits than its factorization.

229259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19307 (or 19295 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 229259136 is about 15141.3056240207. The cubic root of 229259136 is about 612.0340021264.

The spelling of 229259136 in words is "two hundred twenty-nine million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 19259 38518 57777 77036 115554 154072 231108 308144 462216 597029 616288 924432 1194058 1232576 1791087 1848864 2388116 2465152 3582174 3697728 4776232 7164348 7395456 9552464 14328696 19104928 28657392 38209856 57314784 76419712 114629568 229259136