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144251226 = 23373591063
BaseRepresentation
bin10001001100100…
…01100101011010
3101001102201111000
420212101211122
5243412014401
622151445430
73401054340
oct1046214532
9331381430
10144251226
1174476099
1240386876
1323b68372
141522d990
15c9e6186
hex899195a

144251226 has 64 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 41061168.

The previous prime is 144251209. The next prime is 144251231. The reversal of 144251226 is 622152441.

144251226 is a `hidden beast` number, since 14 + 425 + 1 + 226 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 144251226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135171 + ... + 136233.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2144251226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144251226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

144251226 is an abundant number, since it is smaller than the sum of its proper divisors (223467174).

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

144251226 is a wasteful number, since it uses less digits than its factorization.

144251226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 144251226 is about 12010.4631884037. The cubic root of 144251226 is about 524.4529158150.

It can be divided in two parts, 14425 and 1226, that added together give a palindrome (15651).

The spelling of 144251226 in words is "one hundred forty-four million, two hundred fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 359 378 718 1063 1077 2126 2154 2513 3189 3231 5026 6378 6462 7441 7539 9567 9693 14882 15078 19134 19386 22323 22617 28701 44646 45234 57402 66969 67851 133938 135702 200907 381617 401814 763234 1144851 2289702 2671319 3434553 5342638 6869106 8013957 10303659 16027914 20607318 24041871 48083742 72125613 144251226