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22324104 = 23321171397
BaseRepresentation
bin101010100101…
…0001110001000
31120000011220200
41111022032020
521203332404
62114252200
7360515565
oct125121610
946004820
1022324104
1111668480
127587060
13481823a
142d7186c
151e5e839
hex154a388

22324104 has 96 divisors (see below), whose sum is σ = 67055040. Its totient is φ = 6652800.

The previous prime is 22324097. The next prime is 22324129. The reversal of 22324104 is 40142322.

It is a super-3 number, since 3×223241043 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56034 + ... + 56430.

It is an arithmetic number, because the mean of its divisors is an integer number (698490).

Almost surely, 222324104 is an apocalyptic number.

22324104 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 22324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33527520).

22324104 is an abundant number, since it is smaller than the sum of its proper divisors (44730936).

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

22324104 is a wasteful number, since it uses less digits than its factorization.

22324104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22324104 is about 4724.8390448776. The cubic root of 22324104 is about 281.5732189257.

Adding to 22324104 its reverse (40142322), we get a palindrome (62466426).

It can be divided in two parts, 2232 and 4104, that added together give a palindrome (6336).

The spelling of 22324104 in words is "twenty-two million, three hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 397 426 568 639 781 792 794 852 1191 1278 1562 1588 1704 2343 2382 2556 3124 3176 3573 4367 4686 4764 5112 6248 7029 7146 8734 9372 9528 13101 14058 14292 17468 18744 26202 28116 28187 28584 34936 39303 52404 56232 56374 78606 84561 104808 112748 157212 169122 225496 253683 310057 314424 338244 507366 620114 676488 930171 1014732 1240228 1860342 2029464 2480456 2790513 3720684 5581026 7441368 11162052 22324104