Search a number
-
+
230505336 = 233231611693
BaseRepresentation
bin11011011110100…
…11101101111000
3121001201212212200
431233103231320
5433002132321
634512310200
75466156135
oct1557235570
9531655780
10230505336
11109129086
1265242360
13389a82b9
142288358c
1515382d26
hexdbd3b78

230505336 has 96 divisors (see below), whose sum is σ = 655374720. Its totient is φ = 73094400.

The previous prime is 230505323. The next prime is 230505347. The reversal of 230505336 is 633505032.

It is a congruent number.

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, 135306 + ... + 136998.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2230505336 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 230505336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327687360).

230505336 is an abundant number, since it is smaller than the sum of its proper divisors (424869384).

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

230505336 is a wasteful number, since it uses less digits than its factorization.

230505336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 230505336 is about 15182.4021814731. The cubic root of 230505336 is about 613.1409575724.

The spelling of 230505336 in words is "two hundred thirty million, five hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 1098 1116 1464 1693 1891 2196 2232 3386 3782 4392 5079 5673 6772 7564 10158 11346 13544 15128 15237 17019 20316 22692 30474 34038 40632 45384 52483 60948 68076 103273 104966 121896 136152 157449 206546 209932 309819 314898 413092 419864 472347 619638 629796 826184 929457 944694 1239276 1259592 1858914 1889388 2478552 3201463 3717828 3778776 6402926 7435656 9604389 12805852 19208778 25611704 28813167 38417556 57626334 76835112 115252668 230505336