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144412212 = 223721714447
BaseRepresentation
bin10001001101110…
…00111000110100
3101001201220022110
420212320320310
5243432142322
622155131020
73402324600
oct1046707064
9331656273
10144412212
117457603a
1240443a70
1323bc3719
1415272500
15ca28c0c
hex89b8e34

144412212 has 72 divisors (see below), whose sum is σ = 415062144. Its totient is φ = 38830848.

The previous prime is 144412207. The next prime is 144412231. The reversal of 144412212 is 212214441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2773 + ... + 17219.

It is an arithmetic number, because the mean of its divisors is an integer number (5764752).

Almost surely, 2144412212 is an apocalyptic number.

144412212 is a gapful number since it is divisible by the number (12) 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 144412212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207531072).

144412212 is an abundant number, since it is smaller than the sum of its proper divisors (270649932).

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

144412212 is a wasteful number, since it uses less digits than its factorization.

144412212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14485 (or 14476 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 144412212 is about 12017.1632259864. The cubic root of 144412212 is about 524.6479417448.

Adding to 144412212 its reverse (212214441), we get a palindrome (356626653).

It can be divided in two parts, 14441 and 2212, that added together give a triangular number (16653 = T182).

The spelling of 144412212 in words is "one hundred forty-four million, four hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 14447 28894 43341 57788 86682 101129 173364 202258 245599 303387 404516 491198 606774 707903 736797 982396 1213548 1415806 1473594 1719193 2123709 2831612 2947188 3438386 4247418 5157579 6876772 8494836 10315158 12034351 20630316 24068702 36103053 48137404 72206106 144412212