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222466928896 = 284127192
BaseRepresentation
bin1100111100110000001…
…1111111000100000000
3210021020002202221000001
43033030003333010000
512121103013211041
6250111102205344
722033636460302
oct3171403770400
9707202687001
10222466928896
1186390866433
1237147883854
1317c94b17444
14aaa5c89972
155bc0a87131
hex33cc0ff100

222466928896 has 81 divisors (see below), whose sum is σ = 455793789493. Its totient is φ = 108369520640.

The previous prime is 222466928857. The next prime is 222466928897. The reversal of 222466928896 is 698829664222.

The square root of 222466928896 is 471664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10719703296 + 211747225600 = 103536^2 + 460160^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (71663616) is a multiple of the sum of its prime factors (1536).

It is not an unprimeable number, because it can be changed into a prime (222466928897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 309411225 + ... + 309411943.

Almost surely, 2222466928896 is an apocalyptic number.

222466928896 is the 471664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222466928896

222466928896 is an abundant number, since it is smaller than the sum of its proper divisors (233326860597).

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

222466928896 is an frugal number, since it uses more digits than its factorization.

222466928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 762 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 64.

Multiplying 222466928896 by its sum of digits (64), we get a square (14237883449344 = 37733122).

222466928896 divided by its sum of digits (64) gives a square (3476045764 = 589582).

The spelling of 222466928896 in words is "two hundred twenty-two billion, four hundred sixty-six million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 719 1312 1438 1681 2624 2876 3362 5248 5752 6724 10496 11504 13448 23008 26896 29479 46016 53792 58958 92032 107584 117916 184064 215168 235832 430336 471664 516961 943328 1033922 1208639 1886656 2067844 2417278 3773312 4135688 4834556 7546624 8271376 9669112 16542752 19338224 21195401 33085504 38676448 42390802 66171008 77352896 84781604 132342016 154705792 169563208 309411584 339126416 678252832 869011441 1356505664 1738022882 2713011328 3476045764 5426022656 6952091528 13904183056 27808366112 55616732224 111233464448 222466928896