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81270224 = 2472234507
BaseRepresentation
bin1001101100000…
…01010111010000
312122220221210022
410312001113100
5131301121344
612021523012
72004533300
oct466012720
9178827708
1081270224
1141969582
1223273468
1313ab65b9
14ab17600
1572050ee
hex4d815d0

81270224 has 60 divisors (see below), whose sum is σ = 191175264. Its totient is φ = 33308352.

The previous prime is 81270187. The next prime is 81270229. The reversal of 81270224 is 42207218.

It is a Cunningham number, because it is equal to 90152-1.

It is a junction number, because it is equal to n+sod(n) for n = 81270193 and 81270202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81270229) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15779 + ... + 20285.

Almost surely, 281270224 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 81270224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95587632).

81270224 is an abundant number, since it is smaller than the sum of its proper divisors (109905040).

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

81270224 is a wasteful number, since it uses less digits than its factorization.

81270224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 81270224 is about 9014.9999445369. Note that the first 4 decimals coincide. The cubic root of 81270224 is about 433.1554857296.

The spelling of 81270224 in words is "eighty-one million, two hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4507 4508 9014 9016 18028 18032 31549 36056 63098 72112 103661 126196 207322 220843 252392 414644 441686 504784 725627 829288 883372 1451254 1658576 1766744 2902508 3533488 5079389 5805016 10158778 11610032 20317556 40635112 81270224