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145083224 = 231113314091
BaseRepresentation
bin10001010010111…
…00101101011000
3101002222222202202
420221130231120
5244120130344
622221345332
73411121106
oct1051345530
9332888682
10145083224
11749941a0
1240708248
1324099c80
14153a8c76
15cb0c94e
hex8a5cb58

145083224 has 64 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 58896000.

The previous prime is 145083209. The next prime is 145083233. The reversal of 145083224 is 422380541.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 33419 + ... + 37509.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2145083224 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 145083224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

145083224 is an abundant number, since it is smaller than the sum of its proper divisors (184895656).

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

145083224 is a wasteful number, since it uses less digits than its factorization.

145083224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 145083224 is about 12045.0497715867. The cubic root of 145083224 is about 525.4592794273.

The spelling of 145083224 in words is "one hundred forty-five million, eighty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4091 4433 8182 8866 16364 17732 32728 35464 45001 53183 90002 106366 126821 180004 212732 253642 360008 425464 507284 585013 1014568 1170026 1395031 1648673 2340052 2790062 3297346 4680104 5580124 6594692 11160248 13189384 18135403 36270806 72541612 145083224