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144452022 = 231113198861
BaseRepresentation
bin10001001110000…
…10100110110110
3101001210220220220
420213002212312
5243434431042
622200035210
73402551631
oct1047024666
9331726826
10144452022
11745a2a40
1240462b06
1323c08890
1415282c18
15ca358ec
hex89c29b6

144452022 has 64 divisors (see below), whose sum is σ = 357315840. Its totient is φ = 38275200.

The previous prime is 144451919. The next prime is 144452027. The reversal of 144452022 is 220254441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144451983 and 144452001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452027) 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 31 ways as a sum of consecutive naturals, for example, 11872 + ... + 20732.

It is an arithmetic number, because the mean of its divisors is an integer number (5583060).

Almost surely, 2144452022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144452022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178657920).

144452022 is an abundant number, since it is smaller than the sum of its proper divisors (212863818).

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

144452022 is a wasteful number, since it uses less digits than its factorization.

144452022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144452022 is about 12018.8194927788. The cubic root of 144452022 is about 524.6961470762.

The spelling of 144452022 in words is "one hundred forty-four million, four hundred fifty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 8151 8861 16302 17722 26583 53166 97471 115193 168359 194942 230386 292413 336718 345579 505077 584826 691158 1010154 1267123 1851949 2188667 2534246 3703898 3801369 4377334 5555847 6566001 7602738 11111694 13132002 24075337 48150674 72226011 144452022