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144220928 = 2817311069
BaseRepresentation
bin10001001100010…
…10001100000000
3101001101011220212
420212022030000
5243410032203
622151053252
73400600115
oct1046121400
9331334825
10144220928
1174455355
1240371228
1323b57637
141522290c
15c9dc1d8
hex898a300

144220928 has 72 divisors (see below), whose sum is σ = 314939520. Its totient is φ = 65617920.

The previous prime is 144220919. The next prime is 144220943. The reversal of 144220928 is 829022441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144220894 and 144220903.

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, 134378 + ... + 135446.

It is an arithmetic number, because the mean of its divisors is an integer number (4374160).

Almost surely, 2144220928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157469760).

144220928 is an abundant number, since it is smaller than the sum of its proper divisors (170718592).

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

144220928 is a wasteful number, since it uses less digits than its factorization.

144220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 144220928 is about 12009.2018052825. The cubic root of 144220928 is about 524.4161951864.

The spelling of 144220928 in words is "one hundred forty-four million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 992 1054 1069 1088 1984 2108 2138 2176 3968 4216 4276 4352 7936 8432 8552 16864 17104 18173 33139 33728 34208 36346 66278 67456 68416 72692 132556 134912 136832 145384 265112 273664 290768 530224 563363 581536 1060448 1126726 1163072 2120896 2253452 2326144 4241792 4506904 4652288 8483584 9013808 18027616 36055232 72110464 144220928