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222690816 = 293389181
BaseRepresentation
bin11010100010111…
…11111000000000
3120112000212101000
431101133320000
5424002101231
634033012000
75342561235
oct1521377000
9515025330
10222690816
111047809a7
12626b4000
13371a041a
142180b78c
151483c6e6
hexd45fe00

222690816 has 160 divisors (see below), whose sum is σ = 670269600. Its totient is φ = 72990720.

The previous prime is 222690799. The next prime is 222690863. The reversal of 222690816 is 618096222.

It is a happy number.

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

It is a congruent number.

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, 1230246 + ... + 1230426.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2222690816 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 222690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335134800).

222690816 is an abundant number, since it is smaller than the sum of its proper divisors (447578784).

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

222690816 is an equidigital number, since it uses as much as digits as its factorization.

222690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 222690816 is about 14922.8286862779. The cubic root of 222690816 is about 606.1323110764.

The spelling of 222690816 in words is "two hundred twenty-two million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 181 192 216 256 267 288 356 362 384 432 512 534 543 576 712 724 768 801 864 1068 1086 1152 1424 1448 1536 1602 1629 1728 2136 2172 2304 2403 2848 2896 3204 3258 3456 4272 4344 4608 4806 4887 5696 5792 6408 6516 6912 8544 8688 9612 9774 11392 11584 12816 13032 13824 16109 17088 17376 19224 19548 22784 23168 25632 26064 32218 34176 34752 38448 39096 45568 46336 48327 51264 52128 64436 68352 69504 76896 78192 92672 96654 102528 104256 128872 136704 139008 144981 153792 156384 193308 205056 208512 257744 278016 289962 307584 312768 386616 410112 417024 434943 515488 579924 615168 625536 773232 834048 869886 1030976 1159848 1230336 1251072 1546464 1739772 2061952 2319696 2502144 3092928 3479544 4123904 4639392 6185856 6959088 8247808 9278784 12371712 13918176 18557568 24743424 27836352 37115136 55672704 74230272 111345408 222690816