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23323248 = 2433134153
BaseRepresentation
bin101100011111…
…0001001110000
31121212221111000
41120332021300
521432320443
62151522000
7402146544
oct130761160
947787430
1023323248
1112190113
127989300
134aa7c50
143151a24
1520aa8d3
hex163e270

23323248 has 80 divisors (see below), whose sum is σ = 72113440. Its totient is φ = 7174656.

The previous prime is 23323247. The next prime is 23323259. The reversal of 23323248 is 84232332.

23323248 is a `hidden beast` number, since 2 + 332 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23323247) 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, 3540 + ... + 7692.

It is an arithmetic number, because the mean of its divisors is an integer number (901418).

Almost surely, 223323248 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 23323248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056720).

23323248 is an abundant number, since it is smaller than the sum of its proper divisors (48790192).

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

23323248 is a wasteful number, since it uses less digits than its factorization.

23323248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4171 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 23323248 is about 4829.4148713897. The cubic root of 23323248 is about 285.7127864683.

It can be divided in two parts, 2332324 and 8, that added together give a palindrome (2332332).

The spelling of 23323248 in words is "twenty-three million, three hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4153 5616 8306 12459 16612 24918 33224 37377 49836 53989 66448 74754 99672 107978 112131 149508 161967 199344 215956 224262 299016 323934 431912 448524 485901 598032 647868 863824 897048 971802 1295736 1457703 1794096 1943604 2591472 2915406 3887208 5830812 7774416 11661624 23323248