Search a number
-
+
68712228 = 223213413581
BaseRepresentation
bin1000001100001…
…11011100100100
311210021221110100
410012013130210
5120042242403
610452424100
71463021124
oct406073444
9153257410
1068712228
1135871572
121b018030
131130a630
1491a8c84
1560742a3
hex4187724

68712228 has 72 divisors (see below), whose sum is σ = 191665656. Its totient is φ = 20620800.

The previous prime is 68712211. The next prime is 68712239. The reversal of 68712228 is 82221786.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 67371264 = 1158^2 + 8208^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 68712192 and 68712201.

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, 17398 + ... + 20978.

It is an arithmetic number, because the mean of its divisors is an integer number (2662023).

Almost surely, 268712228 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 68712228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95832828).

68712228 is an abundant number, since it is smaller than the sum of its proper divisors (122953428).

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

68712228 is a wasteful number, since it uses less digits than its factorization.

68712228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3640 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 68712228 is about 8289.2839256476. The cubic root of 68712228 is about 409.5855975491.

The spelling of 68712228 in words is "sixty-eight million, seven hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 3581 4797 6396 7162 9594 10743 14324 19188 21486 32229 42972 46553 64458 93106 128916 139659 146821 186212 279318 293642 418977 440463 558636 587284 837954 880926 1321389 1675908 1761852 1908673 2642778 3817346 5285556 5726019 7634692 11452038 17178057 22904076 34356114 68712228