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228970032 = 24359233347
BaseRepresentation
bin11011010010111…
…00111000110000
3120221211212211120
431221130320300
5432104020112
634415342240
75450133054
oct1551347060
9527755746
10228970032
1110827a635
1264821980
133858b535
14225a3c64
151517ce8c
hexda5ce30

228970032 has 80 divisors (see below), whose sum is σ = 605854080. Its totient is φ = 74492416.

The previous prime is 228970019. The next prime is 228970057. The reversal of 228970032 is 230079822.

228970032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228969975 and 228970002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659683 + ... + 660029.

It is an arithmetic number, because the mean of its divisors is an integer number (7573176).

Almost surely, 2228970032 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 228970032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302927040).

228970032 is an abundant number, since it is smaller than the sum of its proper divisors (376884048).

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

228970032 is a wasteful number, since it uses less digits than its factorization.

228970032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 228970032 is about 15131.7557474339. The cubic root of 228970032 is about 611.7766282947.

The spelling of 228970032 in words is "two hundred twenty-eight million, nine hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 233 236 347 354 466 472 694 699 708 932 944 1041 1388 1398 1416 1864 2082 2776 2796 2832 3728 4164 5552 5592 8328 11184 13747 16656 20473 27494 40946 41241 54988 61419 80851 81892 82482 109976 122838 161702 163784 164964 219952 242553 245676 323404 327568 329928 485106 491352 646808 659856 970212 982704 1293616 1940424 3880848 4770209 9540418 14310627 19080836 28621254 38161672 57242508 76323344 114485016 228970032