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332115000 = 2335473163
BaseRepresentation
bin10011110010111…
…010110000111000
3212010221012010120
4103302322300320
51140010140000
652542213240
711141634210
oct2362726070
9763835116
10332115000
11160519a08
1293284220
1353a63669
1432173240
151e2546a0
hex13cbac38

332115000 has 160 divisors (see below), whose sum is σ = 1186120320. Its totient is φ = 75888000.

The previous prime is 332114957. The next prime is 332115061. The reversal of 332115000 is 511233.

It is a happy number.

332115000 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 2×3321150002 = 220600746450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103419 + ... + 106581.

It is an arithmetic number, because the mean of its divisors is an integer number (7413252).

Almost surely, 2332115000 is an apocalyptic number.

332115000 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 332115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593060160).

332115000 is an abundant number, since it is smaller than the sum of its proper divisors (854005320).

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

332115000 is a wasteful number, since it uses less digits than its factorization.

332115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 332115000 is about 18224.0226075365. The cubic root of 332115000 is about 692.5154979220.

Adding to 332115000 its reverse (511233), we get a palindrome (332626233).

The spelling of 332115000 in words is "three hundred thirty-two million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3163 3500 3750 4200 4375 5000 5250 6326 7000 7500 8750 9489 10500 12652 13125 15000 15815 17500 18978 21000 22141 25304 26250 31630 35000 37956 44282 47445 52500 63260 66423 75912 79075 88564 94890 105000 110705 126520 132846 158150 177128 189780 221410 237225 265692 316300 332115 379560 395375 442820 474450 531384 553525 632600 664230 790750 885640 948900 1107050 1186125 1328460 1581500 1660575 1897800 1976875 2214100 2372250 2656920 2767625 3163000 3321150 3953750 4428200 4744500 5535250 5930625 6642300 7907500 8302875 9489000 11070500 11861250 13284600 13838125 15815000 16605750 22141000 23722500 27676250 33211500 41514375 47445000 55352500 66423000 83028750 110705000 166057500 332115000