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71149224 = 23319374217
BaseRepresentation
bin1000011110110…
…10011010101000
311221212202101110
410033122122220
5121203233344
611020550320
71522521066
oct417323250
9157782343
1071149224
1137186513
121b9b23a0
1311981943
149641036
1563a63b9
hex43da6a8

71149224 has 64 divisors (see below), whose sum is σ = 192340800. Its totient is φ = 21855744.

The previous prime is 71149201. The next prime is 71149249. The reversal of 71149224 is 42294117.

It is a Cunningham number, because it is equal to 84352-1.

It is a junction number, because it is equal to n+sod(n) for n = 71149191 and 71149200.

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, 14764 + ... + 18980.

It is an arithmetic number, because the mean of its divisors is an integer number (3005325).

Almost surely, 271149224 is an apocalyptic number.

71149224 is a gapful number since it is divisible by the number (74) 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 71149224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96170400).

71149224 is an abundant number, since it is smaller than the sum of its proper divisors (121191576).

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

71149224 is a wasteful number, since it uses less digits than its factorization.

71149224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4278 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 71149224 is about 8434.9999407232. Note that the first 4 decimals coincide. The cubic root of 71149224 is about 414.3716702457.

The spelling of 71149224 in words is "seventy-one million, one hundred forty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2812 4217 4218 5624 8434 8436 12651 16868 16872 25302 33736 50604 80123 101208 156029 160246 240369 312058 320492 468087 480738 624116 640984 936174 961476 1248232 1872348 1922952 2964551 3744696 5929102 8893653 11858204 17787306 23716408 35574612 71149224