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81068224 = 2629311409
BaseRepresentation
bin1001101010100…
…00000011000000
312122112200200211
410311100003000
5131223140344
612013323504
72003032336
oct465200300
9178480624
1081068224
1141840836
1223196594
1313a45683
14aaa3b56
1571b5334
hex4d500c0

81068224 has 56 divisors (see below), whose sum is σ = 171907200. Its totient is φ = 37847040.

The previous prime is 81068177. The next prime is 81068227. The reversal of 81068224 is 42286018.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (81068227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56832 + ... + 58240.

Almost surely, 281068224 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 81068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85953600).

81068224 is an abundant number, since it is smaller than the sum of its proper divisors (90838976).

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

81068224 is a wasteful number, since it uses less digits than its factorization.

81068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 81068224 is about 9003.7894244590. The cubic root of 81068224 is about 432.7963135888.

The spelling of 81068224 in words is "eighty-one million, sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1409 1798 1856 1984 2818 3596 5636 7192 11272 14384 22544 28768 40861 43679 45088 57536 81722 87358 90176 163444 174716 326888 349432 653776 698864 1266691 1307552 1397728 2533382 2615104 2795456 5066764 10133528 20267056 40534112 81068224