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220303332 = 223241149257
BaseRepresentation
bin11010010000110…
…00111111100100
3120100112120100200
431020120333210
5422344201312
633505510500
75313355524
oct1510307744
9510476320
10220303332
111033a0177
1261942430
1336845802
1421389684
151451a0dc
hexd218fe4

220303332 has 36 divisors (see below), whose sum is σ = 570464076. Its totient is φ = 71642880.

The previous prime is 220303313. The next prime is 220303333. The reversal of 220303332 is 233303022.

220303332 is digitally balanced in base 2, 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 2 ways, for example, as 97891236 + 122412096 = 9894^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220303333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73153 + ... + 76104.

Almost surely, 2220303332 is an apocalyptic number.

It is an amenable number.

220303332 is an abundant number, since it is smaller than the sum of its proper divisors (350160744).

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

220303332 is a wasteful number, since it uses less digits than its factorization.

220303332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149308 (or 149303 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 220303332 is about 14842.6187716319. The cubic root of 220303332 is about 603.9583944266.

Adding to 220303332 its reverse (233303022), we get a palindrome (453606354).

The spelling of 220303332 in words is "two hundred twenty million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 149257 298514 447771 597028 895542 1343313 1791084 2686626 5373252 6119537 12239074 18358611 24478148 36717222 55075833 73434444 110151666 220303332