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1022264244 = 2232229124001
BaseRepresentation
bin111100111011101…
…000001110110100
32122020120101220200
4330323220032310
54043144423434
6245234400500
734222050141
oct7473501664
92566511820
101022264244
11485050291
12246430130
13133a340b1
1499aa53c8
155eb2d199
hex3cee83b4

1022264244 has 36 divisors (see below), whose sum is σ = 2595361860. Its totient is φ = 339264000.

The previous prime is 1022264227. The next prime is 1022264249. The reversal of 1022264244 is 4424622201.

1022264244 is a `hidden beast` number, since 10 + 2 + 2 + 2 + 642 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642014244 + 380250000 = 25338^2 + 19500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022264249) 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 11 ways as a sum of consecutive naturals, for example, 53757 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (72093385).

Almost surely, 21022264244 is an apocalyptic number.

It is an amenable number.

1022264244 is an abundant number, since it is smaller than the sum of its proper divisors (1573097616).

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

1022264244 is a wasteful number, since it uses less digits than its factorization.

1022264244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124240 (or 124235 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1022264244 is about 31972.8673096424. The cubic root of 1022264244 is about 1007.3670085752.

Adding to 1022264244 its reverse (4424622201), we get a palindrome (5446886445).

The spelling of 1022264244 in words is "one billion, twenty-two million, two hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 124001 248002 372003 496004 744006 1116009 1488012 2232018 4464036 28396229 56792458 85188687 113584916 170377374 255566061 340754748 511132122 1022264244