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229708128 = 253131031787
BaseRepresentation
bin11011011000100…
…01000101100000
3121000020101022110
431230101011200
5432301130003
634443235320
75456325666
oct1554210540
9530211273
10229708128
11108734131
1264b18b40
1338789490
1422716c36
1515276a03
hexdb11160

229708128 has 96 divisors (see below), whose sum is σ = 656038656. Its totient is φ = 69954048.

The previous prime is 229708123. The next prime is 229708147. The reversal of 229708128 is 821807922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229708121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127651 + ... + 129437.

It is an arithmetic number, because the mean of its divisors is an integer number (6833736).

Almost surely, 2229708128 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 229708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328019328).

229708128 is an abundant number, since it is smaller than the sum of its proper divisors (426330528).

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

229708128 is a wasteful number, since it uses less digits than its factorization.

229708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 229708128 is about 15156.1250984544. The cubic root of 229708128 is about 612.4332870835.

The spelling of 229708128 in words is "two hundred twenty-nine million, seven hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 1787 2472 2678 3296 3574 4017 4944 5356 5361 7148 8034 9888 10712 10722 14296 16068 21424 21444 23231 28592 32136 42848 42888 46462 57184 64272 69693 85776 92924 128544 139386 171552 184061 185848 278772 368122 371696 552183 557544 736244 743392 1104366 1115088 1472488 2208732 2230176 2392793 2944976 4417464 4785586 5889952 7178379 8834928 9571172 14356758 17669856 19142344 28713516 38284688 57427032 76569376 114854064 229708128