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223054000144 = 2419372232513
BaseRepresentation
bin1100111110111100001…
…1011111000000010000
3210022202000110020100121
43033233003133000100
512123303311001034
6250245233200024
722054325501263
oct3175703370020
9708660406317
10223054000144
1186662193788
1237290400014
1318059637391
14ab1dc28cda
155c0739e1b4
hex33ef0df010

223054000144 has 20 divisors (see below), whose sum is σ = 434406339196. Its totient is φ = 110949138432.

The previous prime is 223054000111. The next prime is 223054000171. The reversal of 223054000144 is 441000450322.

It is a happy number.

223054000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46704396544 + 176349603600 = 216112^2 + 419940^2 .

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 3 ways as a sum of consecutive naturals, for example, 36113169 + ... + 36119344.

Almost surely, 2223054000144 is an apocalyptic number.

It is an amenable number.

223054000144 is a deficient number, since it is larger than the sum of its proper divisors (211352339052).

223054000144 is a wasteful number, since it uses less digits than its factorization.

223054000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72232714 (or 72232708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 223054000144 its reverse (441000450322), we get a palindrome (664054450466).

The spelling of 223054000144 in words is "two hundred twenty-three billion, fifty-four million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 193 386 772 1544 3088 72232513 144465026 288930052 577860104 1155720208 13940875009 27881750018 55763500036 111527000072 223054000144