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23868208 = 24713397
BaseRepresentation
bin101101100001…
…1001100110000
31122220122000201
41123003030300
522102240313
62211324544
7406606420
oct133031460
948818021
1023868208
11125225a1
127bb0754
134c39000
143254480
1521670dd
hex16c3330

23868208 has 80 divisors (see below), whose sum is σ = 57843520. Its totient is φ = 9345024.

The previous prime is 23868193. The next prime is 23868209. The reversal of 23868208 is 80286832.

It is not an unprimeable number, because it can be changed into a prime (23868209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246016 + ... + 246112.

It is an arithmetic number, because the mean of its divisors is an integer number (723044).

Almost surely, 223868208 is an apocalyptic number.

23868208 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 23868208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921760).

23868208 is an abundant number, since it is smaller than the sum of its proper divisors (33975312).

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

23868208 is an equidigital number, since it uses as much as digits as its factorization.

23868208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 23868208 is about 4885.5100040835. The cubic root of 23868208 is about 287.9209531003.

The spelling of 23868208 in words is "twenty-three million, eight hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 169 182 194 208 338 364 388 676 679 728 776 1183 1261 1352 1358 1456 1552 2197 2366 2522 2704 2716 4394 4732 5044 5432 8788 8827 9464 10088 10864 15379 16393 17576 17654 18928 20176 30758 32786 35152 35308 61516 65572 70616 114751 123032 131144 141232 213109 229502 246064 262288 426218 459004 852436 918008 1491763 1704872 1836016 2983526 3409744 5967052 11934104 23868208