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67225888 = 2517191647
BaseRepresentation
bin1000000000111…
…00100100100000
311200111102120201
410000130210200
5114202212023
610400514544
71444260562
oct400344440
9150442521
1067225888
1134a46894
121a61ba54
1310c09c42
148cdd332
155d7dbad
hex401c920

67225888 has 48 divisors (see below), whose sum is σ = 141087744. Its totient is φ = 31421440.

The previous prime is 67225877. The next prime is 67225931. The reversal of 67225888 is 88852276.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 103581 + ... + 104227.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 267225888 is an apocalyptic number.

67225888 is a gapful number since it is divisible by the number (68) 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 67225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543872).

67225888 is an abundant number, since it is smaller than the sum of its proper divisors (73861856).

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

67225888 is a wasteful number, since it uses less digits than its factorization.

67225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 67225888 is about 8199.1394670416. The cubic root of 67225888 is about 406.6107433028.

The spelling of 67225888 in words is "sixty-seven million, two hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 544 647 764 1294 1528 2588 3056 3247 5176 6112 6494 10352 10999 12988 20704 21998 25976 43996 51952 87992 103904 123577 175984 247154 351968 494308 988616 1977232 2100809 3954464 4201618 8403236 16806472 33612944 67225888