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68068224 = 2732723367
BaseRepresentation
bin1000000111010…
…10001110000000
311202002020001100
410003222032000
5114411140344
610430534400
71454366430
oct403521600
9152066040
1068068224
1135471734
121a967400
1311143473
14907c2c0
155e98569
hex40ea380

68068224 has 192 divisors, whose sum is σ = 234224640. Its totient is φ = 18551808.

The previous prime is 68068213. The next prime is 68068229. The reversal of 68068224 is 42286086.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68068229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185289 + ... + 185655.

It is an arithmetic number, because the mean of its divisors is an integer number (1219920).

Almost surely, 268068224 is an apocalyptic number.

68068224 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 68068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117112320).

68068224 is an abundant number, since it is smaller than the sum of its proper divisors (166156416).

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

68068224 is a wasteful number, since it uses less digits than its factorization.

68068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68068224 is about 8250.3469017975. The cubic root of 68068224 is about 408.3019679180.

The spelling of 68068224 in words is "sixty-eight million, sixty-eight thousand, two hundred twenty-four".