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67225440 = 2535140053
BaseRepresentation
bin1000000000111…
…00011101100000
311200111101222010
410000130131200
5114202203230
610400512520
71444256352
oct400343540
9150441863
1067225440
1134a46517
121a61b740
1310c09989
148cdd0d2
155d7d9b0
hex401c760

67225440 has 48 divisors (see below), whose sum is σ = 211761648. Its totient is φ = 17926656.

The previous prime is 67225421. The next prime is 67225441. The reversal of 67225440 is 4452276.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67225398 and 67225407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67225441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69547 + ... + 70506.

It is an arithmetic number, because the mean of its divisors is an integer number (4411701).

Almost surely, 267225440 is an apocalyptic number.

67225440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67225440 is an abundant number, since it is smaller than the sum of its proper divisors (144536208).

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

67225440 is a wasteful number, since it uses less digits than its factorization.

67225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140071 (or 140063 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 67225440 is about 8199.1121470559. The cubic root of 67225440 is about 406.6098400694.

The spelling of 67225440 in words is "sixty-seven million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 140053 280106 420159 560212 700265 840318 1120424 1400530 1680636 2100795 2240848 2801060 3361272 4201590 4481696 5602120 6722544 8403180 11204240 13445088 16806360 22408480 33612720 67225440