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23220312 = 2333779331
BaseRepresentation
bin101100010010…
…1000001011000
31121200201021120
41120211001120
521421022222
62145405240
7401240463
oct130450130
947621246
1023220312
111211a845
127939820
134a7013b
1431262da
15208a15c
hex1625058

23220312 has 64 divisors (see below), whose sum is σ = 60556800. Its totient is φ = 7413120.

The previous prime is 23220289. The next prime is 23220313. The reversal of 23220312 is 21302232.

It is a junction number, because it is equal to n+sod(n) for n = 23220291 and 23220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69987 + ... + 70317.

It is an arithmetic number, because the mean of its divisors is an integer number (946200).

Almost surely, 223220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30278400).

23220312 is an abundant number, since it is smaller than the sum of its proper divisors (37336488).

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

23220312 is a wasteful number, since it uses less digits than its factorization.

23220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23220312 is about 4818.7458949399. The cubic root of 23220312 is about 285.2918401732.

Adding to 23220312 its reverse (21302232), we get a palindrome (44522544).

It can be divided in two parts, 23220 and 312, that added together give a palindrome (23532).

The spelling of 23220312 in words is "twenty-three million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 331 444 474 632 662 888 948 993 1324 1896 1986 2648 2923 3972 5846 7944 8769 11692 12247 17538 23384 24494 26149 35076 36741 48988 52298 70152 73482 78447 97976 104596 146964 156894 209192 293928 313788 627576 967513 1935026 2902539 3870052 5805078 7740104 11610156 23220312