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229744128 = 293373401
BaseRepresentation
bin11011011000110…
…01111000000000
3121000022012200210
431230121320000
5432303303003
634444114120
75456535645
oct1554317000
9530265623
10229744128
11108759189
1264b35940
133879c993
1422725dcc
1515282503
hexdb19e00

229744128 has 80 divisors (see below), whose sum is σ = 615224016. Its totient is φ = 76185600.

The previous prime is 229744111. The next prime is 229744147. The reversal of 229744128 is 821447922.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 572728 + ... + 573128.

Almost surely, 2229744128 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 229744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307612008).

229744128 is an abundant number, since it is smaller than the sum of its proper divisors (385479888).

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

229744128 is an equidigital number, since it uses as much as digits as its factorization.

229744128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 229744128 is about 15157.3126905794. The cubic root of 229744128 is about 612.4652790536.

The spelling of 229744128 in words is "two hundred twenty-nine million, seven hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 373 384 401 512 746 768 802 1119 1203 1492 1536 1604 2238 2406 2984 3208 4476 4812 5968 6416 8952 9624 11936 12832 17904 19248 23872 25664 35808 38496 47744 51328 71616 76992 95488 102656 143232 149573 153984 190976 205312 286464 299146 307968 448719 572928 598292 615936 897438 1196584 1794876 2393168 3589752 4786336 7179504 9572672 14359008 19145344 28718016 38290688 57436032 76581376 114872064 229744128