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229976496 = 2434292211
BaseRepresentation
bin11011011010100…
…10100110110000
3121000202000110000
431231102212300
5432333221441
634453110000
75461524261
oct1555224660
9530660400
10229976496
111088a7822
1265028300
1338851689
1422786968
15152cb2b6
hexdb529b0

229976496 has 150 divisors (see below), whose sum is σ = 692629652. Its totient is φ = 73664640.

The previous prime is 229976489. The next prime is 229976501. The reversal of 229976496 is 694679922.

229976496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1089831 + ... + 1090041.

Almost surely, 2229976496 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 229976496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346314826).

229976496 is an abundant number, since it is smaller than the sum of its proper divisors (462653156).

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

229976496 is a wasteful number, since it uses less digits than its factorization.

229976496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 245 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 229976496 is about 15164.9759643726. The cubic root of 229976496 is about 612.6716961943.

The spelling of 229976496 in words is "two hundred twenty-nine million, nine hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 211 216 232 261 324 348 422 432 464 522 633 648 696 783 841 844 1044 1266 1296 1392 1566 1682 1688 1899 2088 2349 2523 2532 3132 3364 3376 3798 4176 4698 5046 5064 5697 6119 6264 6728 7569 7596 9396 10092 10128 11394 12238 12528 13456 15138 15192 17091 18357 18792 20184 22707 22788 24476 30276 30384 34182 36714 37584 40368 45414 45576 48952 55071 60552 68121 68364 73428 90828 91152 97904 110142 121104 136242 136728 146856 165213 177451 181656 220284 272484 273456 293712 330426 354902 363312 440568 495639 532353 544968 660852 709804 881136 991278 1064706 1089936 1321704 1419608 1597059 1982556 2129412 2643408 2839216 3194118 3965112 4258824 4791177 6388236 7930224 8517648 9582354 12776472 14373531 19164708 25552944 28747062 38329416 57494124 76658832 114988248 229976496