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201222032 = 24112234519
BaseRepresentation
bin10111111111001…
…10011110010000
3112000122010201212
423333212132100
5403003101112
631544515252
74662234104
oct1377463620
9460563655
10201222032
11a3648100
125747bb28
13328c45bb
141ca1d904
15129eb522
hexbfe6790

201222032 has 60 divisors (see below), whose sum is σ = 447263040. Its totient is φ = 87468480.

The previous prime is 201222031. The next prime is 201222041. The reversal of 201222032 is 230222102.

201222032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201221998 and 201222016.

It is not an unprimeable number, because it can be changed into a prime (201222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42269 + ... + 46787.

It is an arithmetic number, because the mean of its divisors is an integer number (7454384).

Almost surely, 2201222032 is an apocalyptic number.

201222032 is a gapful number since it is divisible by the number (22) 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 201222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223631520).

201222032 is an abundant number, since it is smaller than the sum of its proper divisors (246041008).

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

201222032 is a wasteful number, since it uses less digits than its factorization.

201222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201222032 is about 14185.2751823854. The cubic root of 201222032 is about 585.9922110269.

Adding to 201222032 its reverse (230222102), we get a palindrome (431444134).

The spelling of 201222032 in words is "two hundred one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1936 2024 2783 4048 4519 5566 9038 11132 18076 22264 36152 44528 49709 72304 99418 103937 198836 207874 397672 415748 546799 795344 831496 1093598 1143307 1662992 2187196 2286614 4374392 4573228 8748784 9146456 12576377 18292912 25152754 50305508 100611016 201222032