Search a number
-
+
332530500 = 22353415407
BaseRepresentation
bin10011110100100…
…000001101000100
3212011201022002110
4103310200031010
51140111434000
652555141020
711145314451
oct2364401504
9764638073
10332530500
111607830a5
1293444770
1353b7a813
1432240828
151e2d7850
hex13d20344

332530500 has 96 divisors (see below), whose sum is σ = 992130048. Its totient is φ = 86496000.

The previous prime is 332530493. The next prime is 332530543. The reversal of 332530500 is 5035233.

332530500 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 2×3325305002 = 221153066860500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58797 + ... + 64203.

It is an arithmetic number, because the mean of its divisors is an integer number (10334688).

Almost surely, 2332530500 is an apocalyptic number.

332530500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496065024).

332530500 is an abundant number, since it is smaller than the sum of its proper divisors (659599548).

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

332530500 is a wasteful number, since it uses less digits than its factorization.

332530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 21.

The square root of 332530500 is about 18235.4188325906. The cubic root of 332530500 is about 692.8041733086.

Adding to 332530500 its reverse (5035233), we get a palindrome (337565733).

The spelling of 332530500 in words is "three hundred thirty-two million, five hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 2050 2460 3075 4100 5125 5407 6150 10250 10814 12300 15375 16221 20500 21628 27035 30750 32442 54070 61500 64884 81105 108140 135175 162210 221687 270350 324420 405525 443374 540700 665061 675875 811050 886748 1108435 1330122 1351750 1622100 2027625 2216870 2660244 2703500 3325305 4055250 4433740 5542175 6650610 8110500 11084350 13301220 16626525 22168700 27710875 33253050 55421750 66506100 83132625 110843500 166265250 332530500