Search a number
-
+
332545230 = 23354328643
BaseRepresentation
bin10011110100100…
…011110011001110
3212011202001022000
4103310203303032
51140112421410
652555333130
711145405423
oct2364436316
9764661260
10332545230
11160793176
12934511a6
1353b84434
1432245d4a
151e2dbdc0
hex13d23cce

332545230 has 64 divisors (see below), whose sum is σ = 907441920. Its totient is φ = 86613408.

The previous prime is 332545217. The next prime is 332545237. The reversal of 332545230 is 32545233.

It is a super-2 number, since 2×3325452302 = 221172659991505800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332545194 and 332545203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332545237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2712 + ... + 25931.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 2332545230 is an apocalyptic number.

332545230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332545230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

332545230 is an abundant number, since it is smaller than the sum of its proper divisors (574896690).

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

332545230 is a wasteful number, since it uses less digits than its factorization.

332545230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28702 (or 28696 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 332545230 is about 18235.8227124525. The cubic root of 332545230 is about 692.8144028011.

The spelling of 332545230 in words is "three hundred thirty-two million, five hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 11610 28643 57286 85929 143215 171858 257787 286430 429645 515574 773361 859290 1231649 1288935 1546722 2463298 2577870 3694947 3866805 6158245 7389894 7733610 11084841 12316490 18474735 22169682 33254523 36949470 55424205 66509046 110848410 166272615 332545230