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23319828 = 22327293191
BaseRepresentation
bin101100011110…
…1010100010100
31121212202210100
41120331110110
521432213303
62151454100
7402133560
oct130752424
947782710
1023319828
1112188594
127987330
134aa651c
1431506a0
1520a98a3
hex163d514

23319828 has 72 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 6431040.

The previous prime is 23319823. The next prime is 23319833. The reversal of 23319828 is 82891332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23319823) and next prime (23319833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23319792 and 23319801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23319823) 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, 5713 + ... + 8903.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 223319828 is an apocalyptic number.

23319828 is a gapful number since it is divisible by the number (28) 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 23319828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

23319828 is an abundant number, since it is smaller than the sum of its proper divisors (46393452).

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

23319828 is a wasteful number, since it uses less digits than its factorization.

23319828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3232 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 23319828 is about 4829.0607782466. The cubic root of 23319828 is about 285.6988206391.

The spelling of 23319828 in words is "twenty-three million, three hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3191 3654 6382 7308 9573 12764 19146 22337 28719 38292 44674 57438 67011 89348 92539 114876 134022 185078 201033 268044 277617 370156 402066 555234 647773 804132 832851 1110468 1295546 1665702 1943319 2591092 3331404 3886638 5829957 7773276 11659914 23319828