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332022120 = 233513121121
BaseRepresentation
bin10011110010100…
…100000101101000
3212010202110201120
4103302210011220
51134444201440
652540215240
711141066343
oct2362440550
9763673646
10332022120
11160466151
129323a520
1353a302c1
143214b45a
151e236dd0
hex13ca4168

332022120 has 64 divisors (see below), whose sum is σ = 1003717440. Its totient is φ = 87859200.

The previous prime is 332022113. The next prime is 332022139. The reversal of 332022120 is 21220233.

332022120 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 2×3320221202 = 220477376338588800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332022120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160 + ... + 26280.

It is an arithmetic number, because the mean of its divisors is an integer number (15683085).

Almost surely, 2332022120 is an apocalyptic number.

332022120 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 332022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501858720).

332022120 is an abundant number, since it is smaller than the sum of its proper divisors (671695320).

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

332022120 is a wasteful number, since it uses less digits than its factorization.

332022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21266 (or 21262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332022120 is about 18221.4741445362. The cubic root of 332022120 is about 692.4509351085.

Adding to 332022120 its reverse (21220233), we get a palindrome (353242353).

The spelling of 332022120 in words is "three hundred thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 21121 42242 63363 84484 105605 126726 168968 211210 253452 316815 422420 506904 633630 844840 1267260 2534520 2766851 5533702 8300553 11067404 13834255 16601106 22134808 27668510 33202212 41502765 55337020 66404424 83005530 110674040 166011060 332022120