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233422220 = 225194991231
BaseRepresentation
bin11011110100110…
…11110110001100
3121021020002002102
431322123312030
5434224002340
635055014232
75533025153
oct1572336614
9537202072
10233422220
1110a840629
126620a378
1339489b75
142300259a
151575c215
hexde9bd8c

233422220 has 48 divisors (see below), whose sum is σ = 517440000. Its totient is φ = 88205760.

The previous prime is 233422181. The next prime is 233422243. The reversal of 233422220 is 22224332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233422192 and 233422201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189005 + ... + 190235.

It is an arithmetic number, because the mean of its divisors is an integer number (10780000).

Almost surely, 2233422220 is an apocalyptic number.

233422220 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 233422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258720000).

233422220 is an abundant number, since it is smaller than the sum of its proper divisors (284017780).

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

233422220 is a wasteful number, since it uses less digits than its factorization.

233422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233422220 is about 15278.1615386145. The cubic root of 233422220 is about 615.7164145561.

Adding to 233422220 its reverse (22224332), we get a palindrome (255646552).

It can be divided in two parts, 23 and 3422220, that added together give a palindrome (3422243).

The spelling of 233422220 in words is "two hundred thirty-three million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 499 998 1231 1996 2462 2495 4924 4990 6155 9481 9980 12310 18962 23389 24620 37924 46778 47405 93556 94810 116945 189620 233890 467780 614269 1228538 2457076 3071345 6142690 11671111 12285380 23342222 46684444 58355555 116711110 233422220