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144933228 = 2232111721529
BaseRepresentation
bin10001010001110…
…00000101101100
3101002201101000100
420220320011230
5244100330403
622214231100
73406624566
oct1050700554
9332641010
10144933228
11748a1530
1240655490
132404690b
141536a336
15cacd2a3
hex8a3816c

144933228 has 72 divisors (see below), whose sum is σ = 423193680. Its totient is φ = 41333760.

The previous prime is 144933203. The next prime is 144933287. The reversal of 144933228 is 822339441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144933192 and 144933201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4033 + ... + 17496.

It is an arithmetic number, because the mean of its divisors is an integer number (5877690).

Almost surely, 2144933228 is an apocalyptic number.

144933228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144933228 is an abundant number, since it is smaller than the sum of its proper divisors (278260452).

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

144933228 is a wasteful number, since it uses less digits than its factorization.

144933228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21567 (or 21562 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 144933228 is about 12038.8217031402. The cubic root of 144933228 is about 525.2781328977.

It can be divided in two parts, 144933 and 228, that added together give a square (145161 = 3812).

The spelling of 144933228 in words is "one hundred forty-four million, nine hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 21529 43058 64587 86116 129174 193761 236819 258348 365993 387522 473638 710457 731986 775044 947276 1097979 1420914 1463972 2131371 2195958 2841828 3293937 4025923 4262742 4391916 6587874 8051846 8525484 12077769 13175748 16103692 24155538 36233307 48311076 72466614 144933228