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228524976 = 2435531109
BaseRepresentation
bin11011001111100…
…00001110110000
3120221000021100000
431213300032300
5432000244401
634402030000
75443300401
oct1547601660
9527007300
10228524976
11107aa6219
1264648300
1338463aa4
14224c99a8
15150e1186
hexd9f03b0

228524976 has 120 divisors (see below), whose sum is σ = 676362960. Its totient is φ = 74670336.

The previous prime is 228524969. The next prime is 228525013. The reversal of 228524976 is 679425822.

228524976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205510 + ... + 206618.

It is an arithmetic number, because the mean of its divisors is an integer number (5636358).

Almost surely, 2228524976 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 228524976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338181480).

228524976 is an abundant number, since it is smaller than the sum of its proper divisors (447837984).

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

228524976 is a wasteful number, since it uses less digits than its factorization.

228524976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1167 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 228524976 is about 15117.0425679099. The cubic root of 228524976 is about 611.3799949346.

It can be divided in two parts, 2285 and 24976, that added together give a triangular number (27261 = T233).

The spelling of 228524976 in words is "two hundred twenty-eight million, five hundred twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1109 1272 1296 1431 1908 1944 2218 2544 2862 3327 3816 3888 4293 4436 5724 6654 7632 8586 8872 9981 11448 12879 13308 17172 17744 19962 22896 25758 26616 29943 34344 39924 51516 53232 58777 59886 68688 79848 89829 103032 117554 119772 159696 176331 179658 206064 235108 239544 269487 352662 359316 470216 479088 528993 538974 705324 718632 940432 1057986 1077948 1410648 1437264 1586979 2115972 2155896 2821296 3173958 4231944 4311792 4760937 6347916 8463888 9521874 12695832 14282811 19043748 25391664 28565622 38087496 57131244 76174992 114262488 228524976