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144030222 = 232717193539
BaseRepresentation
bin10001001010110…
…11101000001110
3101001000111022200
420211123220032
5243332431342
622143022330
73366144120
oct1045335016
9331014280
10144030222
1174335046
124029a9a6
1323abb8ab
14151b3210
15c9a094c
hex895ba0e

144030222 has 96 divisors (see below), whose sum is σ = 397612800. Its totient is φ = 36681984.

The previous prime is 144030191. The next prime is 144030259. The reversal of 144030222 is 222030441.

144030222 is a `hidden beast` number, since 1 + 440 + 3 + 0 + 222 = 666.

It is a super-3 number, since 3×1440302223 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144030195 and 144030204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38929 + ... + 42467.

It is an arithmetic number, because the mean of its divisors is an integer number (4141800).

Almost surely, 2144030222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144030222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198806400).

144030222 is an abundant number, since it is smaller than the sum of its proper divisors (253582578).

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

144030222 is a wasteful number, since it uses less digits than its factorization.

144030222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144030222 is about 12001.2591839357. The cubic root of 144030222 is about 524.1849448168.

Adding to 144030222 its reverse (222030441), we get a palindrome (366060663).

The spelling of 144030222 in words is "one hundred forty-four million, thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 3539 4522 5814 6783 7078 10617 13566 20349 21234 24773 31851 40698 49546 60163 63702 67241 74319 120326 134482 148638 180489 201723 222957 360978 403446 421141 445914 470687 541467 605169 842282 941374 1082934 1143097 1210338 1263423 1412061 2286194 2526846 2824122 3429291 3790269 4236183 6858582 7580538 8001679 8472366 10287873 16003358 20575746 24005037 48010074 72015111 144030222