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22442268 = 22319257383
BaseRepresentation
bin101010110011…
…1000100011100
31120020012000010
41111213010130
521221123033
62121003220
7361520232
oct125470434
946205003
1022442268
1111739232
127623510
134859c64
142da2952
151e84863
hex156711c

22442268 has 48 divisors (see below), whose sum is σ = 55480320. Its totient is φ = 7041024.

The previous prime is 22442257. The next prime is 22442269. The reversal of 22442268 is 86224422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442269) 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, 58405 + ... + 58787.

It is an arithmetic number, because the mean of its divisors is an integer number (1155840).

Almost surely, 222442268 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 22442268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27740160).

22442268 is an abundant number, since it is smaller than the sum of its proper divisors (33038052).

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

22442268 is a wasteful number, since it uses less digits than its factorization.

22442268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22442268 is about 4737.3270944700. The cubic root of 22442268 is about 282.0691445558.

The spelling of 22442268 in words is "twenty-two million, four hundred forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 257 383 514 766 771 1028 1149 1532 1542 2298 3084 4596 4883 7277 9766 14554 14649 19532 21831 29108 29298 43662 58596 87324 98431 196862 295293 393724 590586 1181172 1870189 3740378 5610567 7480756 11221134 22442268