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14228352 = 273323179
BaseRepresentation
bin110110010001…
…101110000000
3222202212122000
4312101232000
512120301402
61224544000
7231640035
oct66215600
928685560
1014228352
118038a76
124922000
132c42358
141c6538c
1513b0c1c
hexd91b80

14228352 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 4511232.

The previous prime is 14228323. The next prime is 14228377. The reversal of 14228352 is 25382241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 79399 + ... + 79577.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 214228352 is an apocalyptic number.

14228352 is a gapful number since it is divisible by the number (12) 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 14228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

14228352 is an abundant number, since it is smaller than the sum of its proper divisors (29835648).

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

14228352 is a wasteful number, since it uses less digits than its factorization.

14228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14228352 is about 3772.0487801724. The cubic root of 14228352 is about 242.3175486659.

The spelling of 14228352 in words is "fourteen million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 179 184 192 207 216 276 288 358 368 384 414 432 537 552 576 621 716 736 828 864 1074 1104 1152 1242 1432 1472 1611 1656 1728 2148 2208 2484 2864 2944 3222 3312 3456 4117 4296 4416 4833 4968 5728 6444 6624 8234 8592 8832 9666 9936 11456 12351 12888 13248 16468 17184 19332 19872 22912 24702 25776 26496 32936 34368 37053 38664 39744 49404 51552 65872 68736 74106 77328 79488 98808 103104 111159 131744 148212 154656 197616 206208 222318 263488 296424 309312 395232 444636 526976 592848 618624 790464 889272 1185696 1580928 1778544 2371392 3557088 4742784 7114176 14228352