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233222220 = 223357117179
BaseRepresentation
bin11011110011010…
…11000001001100
3121020211220202000
431321223001030
5434201102340
635050432300
75531233110
oct1571530114
9536756660
10233222220
1110a714340
1266132690
1339419b1a
1422d8d740
151571cd30
hexde6b04c

233222220 has 384 divisors, whose sum is σ = 928972800. Its totient is φ = 47174400.

The previous prime is 233222203. The next prime is 233222233. The reversal of 233222220 is 22222332.

233222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 233222193 and 233222202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2952141 + ... + 2952219.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2233222220 is an apocalyptic number.

233222220 is a gapful number since it is divisible by the number (20) 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 233222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

233222220 is an abundant number, since it is smaller than the sum of its proper divisors (695750580).

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

233222220 is a wasteful number, since it uses less digits than its factorization.

233222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233222220 is about 15271.6148458505. The cubic root of 233222220 is about 615.5405123218.

Adding to 233222220 its reverse (22222332), we get a palindrome (255444552).

The spelling of 233222220 in words is "two hundred thirty-three million, two hundred twenty-two thousand, two hundred twenty".