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22428312 = 2332341991
BaseRepresentation
bin101010110001…
…1101010011000
31120012110212020
41111203222120
521220201222
62120414440
7361431444
oct125435230
946173766
1022428312
11117297a5
127617420
1348537ba
142d9b824
151e8065c
hex1563a98

22428312 has 64 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6969600.

The previous prime is 22428277. The next prime is 22428349. The reversal of 22428312 is 21382422.

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 congruent number.

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, 22137 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 222428312 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 22428312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

22428312 is an abundant number, since it is smaller than the sum of its proper divisors (37567848).

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

22428312 is a wasteful number, since it uses less digits than its factorization.

22428312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1060 counting only the distinct ones).

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

The square root of 22428312 is about 4735.8538828811. The cubic root of 22428312 is about 282.0106630443.

The spelling of 22428312 in words is "twenty-two million, four hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 991 1886 1982 2829 2973 3772 3964 5658 5946 7544 7928 11316 11892 22632 22793 23784 40631 45586 68379 81262 91172 121893 136758 162524 182344 243786 273516 325048 487572 547032 934513 975144 1869026 2803539 3738052 5607078 7476104 11214156 22428312