Search a number
-
+
332012100 = 223527374273
BaseRepresentation
bin10011110010100…
…001101001000100
3212010201221222110
4103302201221010
51134443341400
652540101020
711141025210
oct2362415104
9763657873
10332012100
11160459672
1293234770
1353a28884
1432147940
151e233e50
hex13ca1a44

332012100 has 144 divisors (see below), whose sum is σ = 1127788928. Its totient is φ = 73820160.

The previous prime is 332012059. The next prime is 332012111. The reversal of 332012100 is 1210233.

It is a happy number.

It is a super-2 number, since 2×3320121002 = 220464069092820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75564 + ... + 79836.

Almost surely, 2332012100 is an apocalyptic number.

332012100 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 332012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563894464).

332012100 is an abundant number, since it is smaller than the sum of its proper divisors (795776828).

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

332012100 is a wasteful number, since it uses less digits than its factorization.

332012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 332012100 is about 18221.1991921498. The cubic root of 332012100 is about 692.4439692792.

Adding to 332012100 its reverse (1210233), we get a palindrome (333222333).

The spelling of 332012100 in words is "three hundred thirty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 4273 5180 5550 6475 7770 8546 11100 12819 12950 15540 17092 19425 21365 25638 25900 29911 38850 42730 51276 59822 64095 77700 85460 89733 106825 119644 128190 149555 158101 179466 213650 256380 299110 316202 320475 358932 427300 448665 474303 598220 632404 640950 747775 790505 897330 948606 1106707 1281900 1495550 1581010 1794660 1897212 2213414 2243325 2371515 2991100 3162020 3320121 3952525 4426828 4486650 4743030 5533535 6640242 7905050 8973300 9486060 11067070 11857575 13280484 15810100 16600605 22134140 23715150 27667675 33201210 47430300 55335350 66402420 83003025 110670700 166006050 332012100