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222421248 = 283374597
BaseRepresentation
bin11010100000111…
…10000100000000
3120111112011121000
431100132010000
5423414434443
634023132000
75340356310
oct1520360400
9514464530
10222421248
11104607415
12625a4000
133710780a
142177b440
15147d78d3
hexd41e100

222421248 has 144 divisors (see below), whose sum is σ = 751864960. Its totient is φ = 63535104.

The previous prime is 222421237. The next prime is 222421289. The reversal of 222421248 is 842124222.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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, 46086 + ... + 50682.

Almost surely, 2222421248 is an apocalyptic number.

222421248 is a gapful number since it is divisible by the number (28) 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 222421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375932480).

222421248 is an abundant number, since it is smaller than the sum of its proper divisors (529443712).

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

222421248 is an equidigital number, since it uses as much as digits as its factorization.

222421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4609 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 222421248 is about 14913.7938835160. The cubic root of 222421248 is about 605.8876372400.

The spelling of 222421248 in words is "two hundred twenty-two million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 4597 5376 6048 6912 8064 9194 12096 13791 16128 18388 24192 27582 32179 36776 41373 48384 55164 64358 73552 82746 96537 110328 124119 128716 147104 165492 193074 220656 248238 257432 289611 294208 330984 386148 441312 496476 514864 579222 588416 661968 772296 868833 882624 992952 1029728 1158444 1176832 1323936 1544592 1737666 1765248 1985904 2059456 2316888 2647872 3089184 3475332 3530496 3971808 4118912 4633776 5295744 6178368 6950664 7943616 8237824 9267552 10591488 12356736 13901328 15887232 18535104 24713472 27802656 31774464 37070208 55605312 74140416 111210624 222421248