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144104224 = 2511237217
BaseRepresentation
bin10001001011011…
…01101100100000
3101001011020211111
420211231230200
5243342313344
622144353104
73366602635
oct1045555440
9331136744
10144104224
1174385700
1240315794
1323b16494
14151d218c
15c9b7834
hex896db20

144104224 has 36 divisors (see below), whose sum is σ = 311849622. Its totient is φ = 65500160.

The previous prime is 144104201. The next prime is 144104231. The reversal of 144104224 is 422401441.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 18215824 = 11220^2 + 4268^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 144104195 and 144104204.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14737 + ... + 22480.

Almost surely, 2144104224 is an apocalyptic number.

It is an amenable number.

144104224 is an abundant number, since it is smaller than the sum of its proper divisors (167745398).

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

144104224 is a wasteful number, since it uses less digits than its factorization.

144104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37249 (or 37230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 144104224 is about 12004.3418811695. The cubic root of 144104224 is about 524.2747039709.

Adding to 144104224 its reverse (422401441), we get a palindrome (566505665).

The spelling of 144104224 in words is "one hundred forty-four million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 37217 74434 148868 297736 409387 595472 818774 1190944 1637548 3275096 4503257 6550192 9006514 13100384 18013028 36026056 72052112 144104224