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230350032 = 243211145423
BaseRepresentation
bin11011011101011…
…01110011010000
3121001102222211200
431232231303100
5432432200112
634505111200
75464641303
oct1556556320
9531388750
10230350032
11109032430
1265188500
13389526c3
1422842b3a
1515351cdc
hexdbadcd0

230350032 has 60 divisors (see below), whose sum is σ = 703270464. Its totient is φ = 69802560.

The previous prime is 230350009. The next prime is 230350063. The reversal of 230350032 is 230053032.

It is a super-2 number, since 2×2303500322 = 106122274484802048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230349987 and 230350014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71128 + ... + 74295.

Almost surely, 2230350032 is an apocalyptic number.

230350032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230350032 is an abundant number, since it is smaller than the sum of its proper divisors (472920432).

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

230350032 is a wasteful number, since it uses less digits than its factorization.

230350032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145448 (or 145439 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 230350032 is about 15177.2867140342. The cubic root of 230350032 is about 613.0032244818.

The spelling of 230350032 in words is "two hundred thirty million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 145423 290846 436269 581692 872538 1163384 1308807 1599653 1745076 2326768 2617614 3199306 3490152 4798959 5235228 6398612 6980304 9597918 10470456 12797224 14396877 19195836 20940912 25594448 28793754 38391672 57587508 76783344 115175016 230350032