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1022213664 = 253219118583
BaseRepresentation
bin111100111011011…
…011111000100000
32122020110211112100
4330323123320200
54043141314124
6245233330400
734221446523
oct7473337040
92566424470
101022213664
1148501628a
12246406a00
13133a17074
1499a90bba
155eb1d1c9
hex3cedbe20

1022213664 has 72 divisors (see below), whose sum is σ = 2922296832. Its totient is φ = 338935680.

The previous prime is 1022213659. The next prime is 1022213711. The reversal of 1022213664 is 4663122201.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45717 + ... + 64299.

It is an arithmetic number, because the mean of its divisors is an integer number (40587456).

Almost surely, 21022213664 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 1022213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461148416).

1022213664 is an abundant number, since it is smaller than the sum of its proper divisors (1900083168).

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

1022213664 is a wasteful number, since it uses less digits than its factorization.

1022213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1022213664 is about 31972.0763166861. The cubic root of 1022213664 is about 1007.3503939983.

Adding to 1022213664 its reverse (4663122201), we get a palindrome (5685335865).

The spelling of 1022213664 in words is "one billion, twenty-two million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 18583 27504 37166 55008 55749 74332 111498 148664 167247 222996 297328 334494 445992 594656 668988 891984 1337976 1783968 2675952 3549353 5351904 7098706 10648059 14197412 21296118 28394824 31944177 42592236 56789648 63888354 85184472 113579296 127776708 170368944 255553416 340737888 511106832 1022213664