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13233222 = 23229101251
BaseRepresentation
bin110010011110…
…110001000110
3220220022120100
4302132301012
511341430342
61151344530
7220323552
oct62366106
926808510
1013233222
117519352
124522146
132984412
141a86862
151265e4c
hexc9ec46

13233222 has 48 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 4200000.

The previous prime is 13233203. The next prime is 13233229. The reversal of 13233222 is 22233231.

It is a happy number.

13233222 is digitally balanced in base 2 and base 4, because in such bases 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13233195 and 13233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52597 + ... + 52847.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 213233222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

13233222 is an abundant number, since it is smaller than the sum of its proper divisors (16840458).

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

13233222 is a wasteful number, since it uses less digits than its factorization.

13233222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 386 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 13233222 is about 3637.7495790667. The cubic root of 13233222 is about 236.5312531796.

Adding to 13233222 its reverse (22233231), we get a palindrome (35466453).

Subtracting 13233222 from its reverse (22233231), we obtain a palindrome (9000009).

The spelling of 13233222 in words is "thirteen million, two hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 251 261 303 502 522 606 753 909 1506 1818 2259 2929 4518 5858 7279 8787 14558 17574 21837 25351 26361 43674 50702 52722 65511 76053 131022 152106 228159 456318 735179 1470358 2205537 4411074 6616611 13233222