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144165252 = 223721131719
BaseRepresentation
bin10001001011111…
…00100110000100
3101001021100112210
420211330212010
5243401242002
622145543420
73400245600
oct1045744604
9331240483
10144165252
1174417540
1240344b70
1323b381aa
141520a500
15c9ca96c
hex897c984

144165252 has 144 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 36187200.

The previous prime is 144165239. The next prime is 144165257. The reversal of 144165252 is 252561441.

It is not an unprimeable number, because it can be changed into a prime (144165257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200149 + ... + 200867.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2144165252 is an apocalyptic number.

144165252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144165252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

144165252 is an abundant number, since it is smaller than the sum of its proper divisors (297096828).

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

144165252 is a wasteful number, since it uses less digits than its factorization.

144165252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 144165252 is about 12006.8835257114. The cubic root of 144165252 is about 524.3487034697.

The spelling of 144165252 in words is "one hundred forty-four million, one hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 462 539 588 651 682 719 868 924 1023 1078 1302 1364 1438 1519 1617 2046 2156 2157 2387 2604 2876 3038 3234 4092 4314 4557 4774 5033 6076 6468 7161 7909 8628 9114 9548 10066 14322 15099 15818 16709 18228 20132 22289 23727 28644 30198 31636 33418 35231 44578 47454 50127 55363 60396 66836 66867 70462 89156 94908 100254 105693 110726 133734 140924 156023 166089 200508 211386 221452 245179 267468 312046 332178 387541 422772 468069 490358 624092 664356 735537 775082 936138 980716 1092161 1162623 1471074 1550164 1716253 1872276 2184322 2325246 2942148 3276483 3432506 4368644 4650492 5148759 6552966 6865012 10297518 12013771 13105932 20595036 24027542 36041313 48055084 72082626 144165252