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1445222656 = 2829533673
BaseRepresentation
bin101011000100100…
…0101100100000000
310201201102220210001
41112021011210000
510424434111111
6355224045344
750546122063
oct12611054400
93651386701
101445222656
11681877199
12344003854
131a0553547
14d9d248da
1586d291c1
hex56245900

1445222656 has 72 divisors (see below), whose sum is σ = 3041410680. Its totient is φ = 684343296.

The previous prime is 1445222651. The next prime is 1445222699. The reversal of 1445222656 is 6562225441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92160000 + 1353062656 = 9600^2 + 36784^2 .

It is not an unprimeable number, because it can be changed into a prime (1445222651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391636 + ... + 395308.

It is an arithmetic number, because the mean of its divisors is an integer number (42241815).

Almost surely, 21445222656 is an apocalyptic number.

1445222656 is a gapful number since it is divisible by the number (16) 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 1445222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520705340).

1445222656 is an abundant number, since it is smaller than the sum of its proper divisors (1596188024).

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

1445222656 is an equidigital number, since it uses as much as digits as its factorization.

1445222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3757 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 1445222656 is about 38016.0841749910. The cubic root of 1445222656 is about 1130.6067840403.

The spelling of 1445222656 in words is "one billion, four hundred forty-five million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 424 464 848 928 1537 1696 1856 3074 3392 3673 3712 6148 6784 7346 7424 12296 13568 14692 24592 29384 49184 58768 98368 106517 117536 194669 196736 213034 235072 389338 393472 426068 470144 778676 852136 940288 1557352 1704272 3114704 3408544 5645401 6229408 6817088 11290802 12458816 13634176 22581604 24917632 27268352 45163208 49835264 90326416 180652832 361305664 722611328 1445222656