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144222320 = 24511247317
BaseRepresentation
bin10001001100010…
…10100001110000
3101001101020211102
420212022201300
5243410103240
622151103532
73400604144
oct1046124160
9331336742
10144222320
1174456400
1240371ba8
1323b58168
1415223224
15c9dc815
hex898a870

144222320 has 120 divisors (see below), whose sum is σ = 377600832. Its totient is φ = 51166720.

The previous prime is 144222319. The next prime is 144222329. The reversal of 144222320 is 23222441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144222292 and 144222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144222329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454802 + ... + 455118.

Almost surely, 2144222320 is an apocalyptic number.

144222320 is a gapful number since it is divisible by the number (10) 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 144222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188800416).

144222320 is an abundant number, since it is smaller than the sum of its proper divisors (233378512).

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

144222320 is a wasteful number, since it uses less digits than its factorization.

144222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144222320 is about 12009.2597607013. The cubic root of 144222320 is about 524.4178823780.

Adding to 144222320 its reverse (23222441), we get a palindrome (167444761).

The spelling of 144222320 in words is "one hundred forty-four million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 121 176 188 220 235 242 317 376 440 470 484 517 605 634 752 880 940 968 1034 1210 1268 1585 1880 1936 2068 2420 2536 2585 3170 3487 3760 4136 4840 5072 5170 5687 6340 6974 8272 9680 10340 11374 12680 13948 14899 17435 20680 22748 25360 27896 28435 29798 34870 38357 41360 45496 55792 56870 59596 69740 74495 76714 90992 113740 119192 139480 148990 153428 163889 191785 227480 238384 278960 297980 306856 327778 383570 454960 595960 613712 655556 767140 819445 1191920 1311112 1534280 1638890 1802779 2622224 3068560 3277780 3605558 6555560 7211116 9013895 13111120 14422232 18027790 28844464 36055580 72111160 144222320