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23182224 = 2431397383
BaseRepresentation
bin101100001101…
…1101110010000
31121121210000220
41120123232100
521413312344
62144513040
7401021442
oct130335620
947553026
1023182224
11120a416a
12791b780
134a589c0
143116492
15207dc19
hex161bb90

23182224 has 80 divisors (see below), whose sum is σ = 65329152. Its totient is φ = 7041024.

The previous prime is 23182213. The next prime is 23182231. The reversal of 23182224 is 42228132.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 23182194 and 23182203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60337 + ... + 60719.

Almost surely, 223182224 is an apocalyptic number.

23182224 is a gapful number since it is divisible by the number (24) 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 23182224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664576).

23182224 is an abundant number, since it is smaller than the sum of its proper divisors (42146928).

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

23182224 is a wasteful number, since it uses less digits than its factorization.

23182224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 23182224 is about 4814.7922073543. The cubic root of 23182224 is about 285.1357678767.

The spelling of 23182224 in words is "twenty-three million, one hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 383 388 582 624 766 776 1149 1164 1261 1532 1552 2298 2328 2522 3064 3783 4596 4656 4979 5044 6128 7566 9192 9958 10088 14937 15132 18384 19916 20176 29874 30264 37151 39832 59748 60528 74302 79664 111453 119496 148604 222906 238992 297208 445812 482963 594416 891624 965926 1448889 1783248 1931852 2897778 3863704 5795556 7727408 11591112 23182224