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144220219 = 11132983419
BaseRepresentation
bin10001001100010…
…10000000111011
3101001101010221121
420212022000323
5243410021334
622151050111
73400565053
oct1046120073
9331333847
10144220219
1174454870
1240370937
1323b57210
1415222563
15c9dbdb4
hex898a03b

144220219 has 32 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 115167360.

The previous prime is 144220207. The next prime is 144220273. The reversal of 144220219 is 912022441.

It is not a de Polignac number, because 144220219 - 221 = 142123067 is a prime.

It is a super-2 number, since 2×1442202192 = 41598943136815922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144220193 and 144220202.

It is not an unprimeable number, because it can be changed into a prime (144220519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343992 + ... + 344410.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2144220219 is an apocalyptic number.

144220219 is a deficient number, since it is larger than the sum of its proper divisors (33590981).

144220219 is a wasteful number, since it uses less digits than its factorization.

144220219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 144220219 is about 12009.1722862152. The cubic root of 144220219 is about 524.4153358297.

The spelling of 144220219 in words is "one hundred forty-four million, two hundred twenty thousand, two hundred nineteen".

Divisors: 1 11 13 29 83 143 319 377 419 913 1079 2407 4147 4609 5447 11869 12151 26477 31291 34777 59917 133661 157963 344201 382547 452101 1008533 1737593 4973111 11093863 13110929 144220219