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68222784 = 2637232207
BaseRepresentation
bin1000001000011…
…11111101000000
311202101002001210
410010033331000
5114431112114
610434130120
71455612150
oct404177500
9152332053
1068222784
1135567873
121aa20940
1311198916
1490bc760
155ec9259
hex410ff40

68222784 has 112 divisors (see below), whose sum is σ = 215359488. Its totient is φ = 18636288.

The previous prime is 68222767. The next prime is 68222801. The reversal of 68222784 is 48722286.

It is an interprime number because it is at equal distance from previous prime (68222767) and next prime (68222801).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 29809 + ... + 32015.

Almost surely, 268222784 is an apocalyptic number.

68222784 is a gapful number since it is divisible by the number (64) 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 68222784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107679744).

68222784 is an abundant number, since it is smaller than the sum of its proper divisors (147136704).

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

68222784 is a wasteful number, since it uses less digits than its factorization.

68222784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2242 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 68222784 is about 8259.7084694316. The cubic root of 68222784 is about 408.6107730333.

It can be divided in two parts, 68222 and 784, that added together give a triangular number (69006 = T371).

The spelling of 68222784 in words is "sixty-eight million, two hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2207 2208 2576 3864 4414 4416 5152 6621 7728 8828 10304 13242 15449 15456 17656 26484 30898 30912 35312 46347 50761 52968 61796 70624 92694 101522 105936 123592 141248 152283 185388 203044 211872 247184 304566 355327 370776 406088 423744 494368 609132 710654 741552 812176 988736 1065981 1218264 1421308 1483104 1624352 2131962 2436528 2842616 2966208 3248704 4263924 4873056 5685232 8527848 9746112 11370464 17055696 22740928 34111392 68222784