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68229756 = 22337212893
BaseRepresentation
bin1000001000100…
…01101001111100
311202101102122000
410010101221330
5114431323011
610434222300
71455641400
oct404215174
9152342560
1068229756
1135572031
121aa24990
131119bb4a
1490c1100
155ecb356
hex4111a7c

68229756 has 72 divisors (see below), whose sum is σ = 205788240. Its totient is φ = 19492704.

The previous prime is 68229743. The next prime is 68229761. The reversal of 68229756 is 65792286.

It is a congruent number.

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, 1155 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (2858170).

Almost surely, 268229756 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 68229756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102894120).

68229756 is an abundant number, since it is smaller than the sum of its proper divisors (137558484).

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

68229756 is a wasteful number, since it uses less digits than its factorization.

68229756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12905 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 68229756 is about 8260.1305074436. The cubic root of 68229756 is about 408.6246918305.

Subtracting from 68229756 its product of digits (362880), we obtain a palindrome (67866876).

It can be divided in two parts, 68229 and 756, that multiplied together give a square (51581124 = 71822).

The spelling of 68229756 in words is "sixty-eight million, two hundred twenty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12893 25786 38679 51572 77358 90251 116037 154716 180502 232074 270753 348111 361004 464148 541506 631757 696222 812259 1083012 1263514 1392444 1624518 1895271 2436777 2527028 3249036 3790542 4873554 5685813 7581084 9747108 11371626 17057439 22743252 34114878 68229756