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222968000 = 265347593
BaseRepresentation
bin11010100101000…
…11100011000000
3120112112221121002
431102203203000
5424034434000
634042551132
75345124323
oct1522434300
9515487532
10222968000
11104950182
12628084a8
1337269638
14218807ba
15148948d5
hexd4a38c0

222968000 has 112 divisors (see below), whose sum is σ = 564879744. Its totient is φ = 87142400.

The previous prime is 222967939. The next prime is 222968023. The reversal of 222968000 is 869222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375704 + ... + 376296.

Almost surely, 2222968000 is an apocalyptic number.

222968000 is a gapful number since it is divisible by the number (20) 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 222968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282439872).

222968000 is an abundant number, since it is smaller than the sum of its proper divisors (341911744).

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

222968000 is an equidigital number, since it uses as much as digits as its factorization.

222968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 222968000 is about 14932.1130453797. The cubic root of 222968000 is about 606.3836917756.

The spelling of 222968000 in words is "two hundred twenty-two million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 593 752 800 940 1000 1175 1186 1504 1600 1880 2000 2350 2372 2965 3008 3760 4000 4700 4744 5875 5930 7520 8000 9400 9488 11750 11860 14825 15040 18800 18976 23500 23720 27871 29650 37600 37952 47000 47440 55742 59300 74125 75200 94000 94880 111484 118600 139355 148250 188000 189760 222968 237200 278710 296500 376000 445936 474400 557420 593000 696775 891872 948800 1114840 1186000 1393550 1783744 2229680 2372000 2787100 3483875 4459360 4744000 5574200 6967750 8918720 11148400 13935500 22296800 27871000 44593600 55742000 111484000 222968000