Search a number
-
+
332021250 = 23254112683
BaseRepresentation
bin10011110010100…
…011111000000010
3212010202102112100
4103302203320002
51134444140000
652540211230
711141063661
oct2362437002
9763672470
10332021250
11160465530
1293239b16
1353a2caa2
143214add8
151e236a00
hex13ca3e02

332021250 has 120 divisors (see below), whose sum is σ = 981023472. Its totient is φ = 80460000.

The previous prime is 332021243. The next prime is 332021269. The reversal of 332021250 is 52120233.

332021250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320212502 = 220476220903125000, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122409 + ... + 125091.

Almost surely, 2332021250 is an apocalyptic number.

332021250 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 332021250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490511736).

332021250 is an abundant number, since it is smaller than the sum of its proper divisors (649002222).

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

332021250 is a wasteful number, since it uses less digits than its factorization.

332021250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 332021250 is about 18221.4502715893. The cubic root of 332021250 is about 692.4503302965.

Adding to 332021250 its reverse (52120233), we get a palindrome (384141483).

The spelling of 332021250 in words is "three hundred thirty-two million, twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 330 375 450 495 550 625 750 825 990 1125 1250 1375 1650 1875 2250 2475 2683 2750 3750 4125 4950 5366 5625 6875 8049 8250 11250 12375 13415 13750 16098 20625 24147 24750 26830 29513 40245 41250 48294 59026 61875 67075 80490 88539 120735 123750 134150 147565 177078 201225 241470 265617 295130 335375 402450 442695 531234 603675 670750 737825 885390 1006125 1207350 1328085 1475650 1676875 2012250 2213475 2656170 3018375 3353750 3689125 4426950 5030625 6036750 6640425 7378250 10061250 11067375 13280850 15091875 18445625 22134750 30183750 33202125 36891250 55336875 66404250 110673750 166010625 332021250