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144522664 = 2311131961109
BaseRepresentation
bin10001001110100…
…11110110101000
3101001221111211021
420213103312220
5243444211124
622201342224
73403264606
oct1047236650
9331844737
10144522664
1174641020
1240497974
1323c31a90
14152a0876
15ca4b7e4
hex89d3da8

144522664 has 128 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 55987200.

The previous prime is 144522649. The next prime is 144522667. The reversal of 144522664 is 466225441.

144522664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144522667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325842 + ... + 1325950.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 2144522664 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 144522664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

144522664 is an abundant number, since it is smaller than the sum of its proper divisors (199205336).

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

144522664 is a wasteful number, since it uses less digits than its factorization.

144522664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 144522664 is about 12021.7579413329. The cubic root of 144522664 is about 524.7816646163.

The spelling of 144522664 in words is "one hundred forty-four million, five hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 61 76 88 104 109 122 143 152 209 218 244 247 286 418 436 488 494 572 671 793 836 872 988 1144 1159 1199 1342 1417 1586 1672 1976 2071 2318 2398 2684 2717 2834 3172 4142 4636 4796 5368 5434 5668 6344 6649 8284 8723 9272 9592 10868 11336 12749 13298 15067 15587 16568 17446 21736 22781 25498 26596 26923 30134 31174 34892 45562 50996 53192 53846 60268 62348 69784 73139 86437 91124 101992 107692 120536 124696 126331 146278 165737 172874 182248 215384 252662 292556 296153 331474 345748 505324 585112 592306 662948 691496 950807 1010648 1184612 1325896 1389641 1642303 1901614 2369224 2779282 3284606 3803228 5558564 6569212 7606456 11117128 13138424 18065333 36130666 72261332 144522664