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144432224 = 2519317997
BaseRepresentation
bin10001001101111…
…01110001100000
3101001202220202122
420212331301200
5243433312344
622155403412
73402440126
oct1046756140
9331686678
10144432224
117458a082
1240453568
1323bcc871
1415279916
15ca2eaee
hex89bdc60

144432224 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 64696320.

The previous prime is 144432191. The next prime is 144432229. The reversal of 144432224 is 422234441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144432193 and 144432202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144432229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1488944 + ... + 1489040.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2144432224 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 144432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

144432224 is an abundant number, since it is smaller than the sum of its proper divisors (171676576).

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

144432224 is a wasteful number, since it uses less digits than its factorization.

144432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 144432224 is about 12017.9958395733. The cubic root of 144432224 is about 524.6721750824.

Adding to 144432224 its reverse (422234441), we get a palindrome (566666665).

The spelling of 144432224 in words is "one hundred forty-four million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 79 97 124 152 158 194 248 304 316 388 496 589 608 632 776 992 1178 1264 1501 1552 1843 2356 2449 2528 3002 3007 3104 3686 4712 4898 6004 6014 7372 7663 9424 9796 12008 12028 14744 15326 18848 19592 24016 24056 29488 30652 39184 46531 48032 48112 57133 58976 61304 78368 93062 96224 114266 122608 145597 186124 228532 237553 245216 291194 372248 457064 475106 582388 744496 914128 950212 1164776 1488992 1828256 1900424 2329552 3800848 4513507 4659104 7601696 9027014 18054028 36108056 72216112 144432224