Search a number
-
+
222276096 = 293372297
BaseRepresentation
bin11010011111110…
…10101000000000
3120111020210111000
431033322220000
5423400313341
634020052000
75336213160
oct1517725000
9514223430
10222276096
11104518359
1262534000
1337086723
14217405a0
15147a98b6
hexd3faa00

222276096 has 160 divisors (see below), whose sum is σ = 752273280. Its totient is φ = 63479808.

The previous prime is 222276083. The next prime is 222276133. The reversal of 222276096 is 690672222.

222276096 is a `hidden beast` number, since 2 + 22 + 27 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 222276096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95620 + ... + 97916.

It is an arithmetic number, because the mean of its divisors is an integer number (4701708).

Almost surely, 2222276096 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 222276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376136640).

222276096 is an abundant number, since it is smaller than the sum of its proper divisors (529997184).

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

222276096 is an equidigital number, since it uses as much as digits as its factorization.

222276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 222276096 is about 14908.9267219341. The cubic root of 222276096 is about 605.7558078979.

The spelling of 222276096 in words is "two hundred twenty-two million, two hundred seventy-six thousand, ninety-six".

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 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2297 2304 2688 3024 3456 3584 4032 4594 4608 5376 6048 6891 6912 8064 9188 10752 12096 13782 13824 16079 16128 18376 20673 24192 27564 32158 32256 36752 41346 48237 48384 55128 62019 64316 73504 82692 96474 96768 110256 124038 128632 144711 147008 165384 192948 220512 248076 257264 289422 294016 330768 385896 434133 441024 496152 514528 578844 588032 661536 771792 868266 882048 992304 1029056 1157688 1176064 1323072 1543584 1736532 1764096 1984608 2058112 2315376 2646144 3087168 3473064 3528192 3969216 4116224 4630752 5292288 6174336 6946128 7938432 8232448 9261504 10584576 12348672 13892256 15876864 18523008 24697344 27784512 31753728 37046016 55569024 74092032 111138048 222276096