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332012200 = 235213277461
BaseRepresentation
bin10011110010100…
…001101010101000
3212010201222010011
4103302201222220
51134443342300
652540101304
711141025412
oct2362415250
9763658104
10332012200
11160459753
1293234834
1353a28930
14321479b2
151e233eba
hex13ca1aa8

332012200 has 96 divisors (see below), whose sum is σ = 836118360. Its totient is φ = 121881600.

The previous prime is 332012189. The next prime is 332012257. The reversal of 332012200 is 2210233.

It is a happy number.

332012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15100996 + 316911204 = 3886^2 + 17802^2 .

It is a super-2 number, since 2×3320122002 = 220464201897680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 719970 + ... + 720430.

Almost surely, 2332012200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418059180).

332012200 is an abundant number, since it is smaller than the sum of its proper divisors (504106160).

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

332012200 is a wasteful number, since it uses less digits than its factorization.

332012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 332012200 is about 18221.2019362061. The cubic root of 332012200 is about 692.4440387992. Note that the first 3 decimals are identical.

Adding to 332012200 its reverse (2210233), we get a palindrome (334222433).

The spelling of 332012200 in words is "three hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 277 325 461 520 554 650 922 1108 1300 1385 1844 2216 2305 2600 2770 3601 3688 4610 5540 5993 6925 7202 9220 11080 11525 11986 13850 14404 18005 18440 23050 23972 27700 28808 29965 36010 46100 47944 55400 59930 72020 90025 92200 119860 127697 144040 149825 180050 239720 255394 299650 360100 510788 599300 638485 720200 1021576 1198600 1276970 1660061 2553940 3192425 3320122 5107880 6384850 6640244 8300305 12769700 13280488 16600610 25539400 33201220 41501525 66402440 83003050 166006100 332012200