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68224176 = 24321672837
BaseRepresentation
bin1000001000100…
…00010010110000
311202101010222100
410010100102300
5114431133201
610434140400
71455616206
oct404202260
9152333870
1068224176
1135568919
121aa21700
1311199447
1490bd076
155ec9886
hex41104b0

68224176 has 60 divisors (see below), whose sum is σ = 192143952. Its totient is φ = 22597248.

The previous prime is 68224151. The next prime is 68224201. The reversal of 68224176 is 67142286.

It is an interprime number because it is at equal distance from previous prime (68224151) and next prime (68224201).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68224176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22630 + ... + 25466.

Almost surely, 268224176 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 68224176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96071976).

68224176 is an abundant number, since it is smaller than the sum of its proper divisors (123919776).

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

68224176 is a wasteful number, since it uses less digits than its factorization.

68224176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3009 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 68224176 is about 8259.7927334770. The cubic root of 68224176 is about 408.6135520772.

The spelling of 68224176 in words is "sixty-eight million, two hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 2837 3006 4008 5674 6012 8016 8511 11348 12024 17022 22696 24048 25533 34044 45392 51066 68088 102132 136176 204264 408528 473779 947558 1421337 1895116 2842674 3790232 4264011 5685348 7580464 8528022 11370696 17056044 22741392 34112088 68224176