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144202240 = 295713619
BaseRepresentation
bin10001001100001…
…01101000000000
3101001100020021201
420212011220000
5243403432430
622150430544
73400461460
oct1046055000
9331306251
10144202240
1174442306
1240362454
1323b4bc90
1415219ba0
15c9d68ca
hex8985a00

144202240 has 160 divisors (see below), whose sum is σ = 426222720. Its totient is φ = 45563904.

The previous prime is 144202217. The next prime is 144202243. The reversal of 144202240 is 42202441.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144202243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232651 + ... + 233269.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 2144202240 is an apocalyptic number.

144202240 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 144202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

144202240 is an abundant number, since it is smaller than the sum of its proper divisors (282020480).

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

144202240 is an equidigital number, since it uses as much as digits as its factorization.

144202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 144202240 is about 12008.4237100462. The cubic root of 144202240 is about 524.3935431037.

Adding to 144202240 its reverse (42202441), we get a palindrome (186404681).

The spelling of 144202240 in words is "one hundred forty-four million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 619 640 728 832 896 910 1040 1120 1238 1280 1456 1664 1792 1820 2080 2240 2476 2560 2912 3095 3328 3584 3640 4160 4333 4480 4952 5824 6190 6656 7280 8047 8320 8666 8960 9904 11648 12380 14560 16094 16640 17332 17920 19808 21665 23296 24760 29120 32188 33280 34664 39616 40235 43330 46592 49520 56329 58240 64376 69328 79232 80470 86660 99040 112658 116480 128752 138656 158464 160940 173320 198080 225316 232960 257504 277312 281645 316928 321880 346640 396160 450632 515008 554624 563290 643760 693280 792320 901264 1030016 1109248 1126580 1287520 1386560 1584640 1802528 2060032 2218496 2253160 2575040 2773120 3605056 4120064 4506320 5150080 5546240 7210112 9012640 10300160 11092480 14420224 18025280 20600320 28840448 36050560 72101120 144202240