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144160224 = 25313115513
BaseRepresentation
bin10001001011110…
…11010111100000
3101001021002122120
420211323113200
5243401111344
622145504240
73400225125
oct1045732740
9331232576
10144160224
117441378a
1240342080
1323b35b10
141520874c
15c9c9219
hex897b5e0

144160224 has 48 divisors (see below), whose sum is σ = 407533392. Its totient is φ = 44356608.

The previous prime is 144160217. The next prime is 144160231. The reversal of 144160224 is 422061441.

It is a happy number.

144160224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144160217) and next prime (144160231).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144160194 and 144160203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56509 + ... + 59004.

It is an arithmetic number, because the mean of its divisors is an integer number (8490279).

Almost surely, 2144160224 is an apocalyptic number.

It is an amenable number.

144160224 is an abundant number, since it is smaller than the sum of its proper divisors (263373168).

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

144160224 is a wasteful number, since it uses less digits than its factorization.

144160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115539 (or 115531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144160224 is about 12006.6741439917. The cubic root of 144160224 is about 524.3426075580.

The spelling of 144160224 in words is "one hundred forty-four million, one hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 115513 231026 346539 462052 693078 924104 1386156 1501669 1848208 2772312 3003338 3696416 4505007 5544624 6006676 9010014 11089248 12013352 18020028 24026704 36040056 48053408 72080112 144160224