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230039082 = 2337133277
BaseRepresentation
bin11011011011000…
…01111000101010
3121000212012022000
431231201320222
5432342222312
634454311430
75462204610
oct1555417052
9530765260
10230039082
1110893a849
1265058576
1338874000
14227a16b0
15152deadc
hexdb61e2a

230039082 has 128 divisors (see below), whose sum is σ = 635174400. Its totient is φ = 60450624.

The previous prime is 230039057. The next prime is 230039111. The reversal of 230039082 is 280930032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830328 + ... + 830604.

It is an arithmetic number, because the mean of its divisors is an integer number (4962300).

Almost surely, 2230039082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230039082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317587200).

230039082 is an abundant number, since it is smaller than the sum of its proper divisors (405135318).

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

230039082 is a wasteful number, since it uses less digits than its factorization.

230039082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230039082 is about 15167.0393287550. The cubic root of 230039082 is about 612.7272688196.

The spelling of 230039082 in words is "two hundred thirty million, thirty-nine thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 277 338 351 378 507 546 554 702 819 831 1014 1183 1521 1638 1662 1939 2197 2366 2457 2493 3042 3549 3601 3878 4394 4563 4914 4986 5817 6591 7098 7202 7479 9126 10647 10803 11634 13182 14958 15379 17451 19773 21294 21606 25207 30758 31941 32409 34902 39546 46137 46813 50414 52353 59319 63882 64818 75621 92274 93626 97227 104706 118638 138411 140439 151242 194454 226863 276822 280878 327691 415233 421317 453726 608569 655382 680589 830466 842634 983073 1217138 1263951 1361178 1825707 1966146 2527902 2949219 3651414 4259983 5477121 5898438 8519966 8847657 10954242 12779949 16431363 17695314 25559898 32862726 38339847 76679694 115019541 230039082