Search a number
-
+
325508190 = 235719233547
BaseRepresentation
bin10011011001101…
…101110001011110
3211200111112021220
4103121231301132
51131312230230
652144434210
711031526320
oct2331556136
9750445256
10325508190
11157817137
1291018966
135258c3c7
1431333610
151d89bd10
hex1366dc5e

325508190 has 128 divisors (see below), whose sum is σ = 980951040. Its totient is φ = 67402368.

The previous prime is 325508189. The next prime is 325508207. The reversal of 325508190 is 91805523.

It is a super-2 number, since 2×3255081902 = 211911163514152200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89997 + ... + 93543.

It is an arithmetic number, because the mean of its divisors is an integer number (7663680).

Almost surely, 2325508190 is an apocalyptic number.

325508190 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 325508190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490475520).

325508190 is an abundant number, since it is smaller than the sum of its proper divisors (655442850).

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

325508190 is a wasteful number, since it uses less digits than its factorization.

325508190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 325508190 is about 18041.8455264421. The cubic root of 325508190 is about 687.8926039661.

The spelling of 325508190 in words is "three hundred twenty-five million, five hundred eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 30 35 38 42 46 57 69 70 95 105 114 115 133 138 161 190 210 230 266 285 322 345 399 437 483 570 665 690 798 805 874 966 1311 1330 1610 1995 2185 2415 2622 3059 3547 3990 4370 4830 6118 6555 7094 9177 10641 13110 15295 17735 18354 21282 24829 30590 35470 45885 49658 53205 67393 74487 81581 91770 106410 124145 134786 148974 163162 202179 244743 248290 336965 372435 404358 407905 471751 489486 571067 673930 744870 815810 943502 1010895 1142134 1223715 1415253 1550039 1713201 2021790 2358755 2447430 2830506 2855335 3100078 3426402 4650117 4717510 5710670 7076265 7750195 8566005 9300234 10850273 14152530 15500390 17132010 21700546 23250585 32550819 46501170 54251365 65101638 108502730 162754095 325508190