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11223707364 = 2232176572
BaseRepresentation
bin10100111001111110…
…00010111011100100
31001222012101102001100
422130333002323210
5140441232113424
65053415000100
7545063636622
oct123477027344
931865342040
1011223707364
11483a543511
122212969030
13109b39267c
147868a4512
1545a52cdc9
hex29cfc2ee4

11223707364 has 27 divisors (see below), whose sum is σ = 28372644937. Its totient is φ = 3741023904.

The previous prime is 11223707359. The next prime is 11223707459. The reversal of 11223707364 is 46370732211.

The square root of 11223707364 is 105942.

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

11223707364 is a `hidden beast` number, since 1 + 1 + 223 + 70 + 7 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1341756900 + 9881950464 = 36630^2 + 99408^2 .

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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 626824 + ... + 644480.

Almost surely, 211223707364 is an apocalyptic number.

11223707364 is the 105942-nd square number.

It is an amenable number.

11223707364 is an abundant number, since it is smaller than the sum of its proper divisors (17148937573).

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

11223707364 is an frugal number, since it uses more digits than its factorization.

11223707364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35324 (or 17662 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Multiplying 11223707364 by its sum of digits (36), we get a square (404053465104 = 6356522).

11223707364 divided by its sum of digits (36) gives a square (311769649 = 176572).

The spelling of 11223707364 in words is "eleven billion, two hundred twenty-three million, seven hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17657 35314 52971 70628 105942 158913 211884 317826 635652 311769649 623539298 935308947 1247078596 1870617894 2805926841 3741235788 5611853682 11223707364