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2211068484 = 22321724612
BaseRepresentation
bin1000001111001010…
…0011101001000100
312201002111220202100
42003302203221010
514012013142414
61003222512100
7105535525542
oct20362435104
95632456670
102211068484
11a350aa529
12518595630
13293108661
1416d91cd92
15ce1a6609
hex83ca3a44

2211068484 has 81 divisors (see below), whose sum is σ = 5950106071. Its totient is φ = 692163840.

The previous prime is 2211068473. The next prime is 2211068491. The reversal of 2211068484 is 4848601122.

The square root of 2211068484 is 47022.

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

2211068484 is a `hidden beast` number, since 2 + 2 + 110 + 68 + 484 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 2183505984 = 5250^2 + 46728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4796014 + ... + 4796474.

Almost surely, 22211068484 is an apocalyptic number.

2211068484 is the 47022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211068484

2211068484 is an abundant number, since it is smaller than the sum of its proper divisors (3739037587).

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

2211068484 is a wasteful number, since it uses less digits than its factorization.

2211068484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 2211068484 is about 1302.7689469837.

Multiplying 2211068484 by its sum of digits (36), we get a square (79598465424 = 2821322).

2211068484 divided by its sum of digits (36) gives a square (61418569 = 78372).

The spelling of 2211068484 in words is "two billion, two hundred eleven million, sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 461 578 612 867 922 1156 1383 1734 1844 2601 2766 3468 4149 5202 5532 7837 8298 10404 15674 16596 23511 31348 47022 70533 94044 133229 141066 212521 266458 282132 399687 425042 532916 637563 799374 850084 1199061 1275126 1598748 1912689 2398122 2550252 3612857 3825378 4796244 7225714 7650756 10838571 14451428 21677142 32515713 43354284 61418569 65031426 122837138 130062852 184255707 245674276 368511414 552767121 737022828 1105534242 2211068484