Search a number
-
+
67229664 = 2532113319
BaseRepresentation
bin1000000000111…
…01011111100000
311200111121202120
410000131133200
5114202322124
610400544240
71444304565
oct400353740
9150447676
1067229664
1134a49707
121a622080
1310c0b888
148d0086c
155d7ed79
hex401d7e0

67229664 has 48 divisors (see below), whose sum is σ = 177367680. Its totient is φ = 22296960.

The previous prime is 67229651. The next prime is 67229681. The reversal of 67229664 is 46692276.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 18597 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (3695160).

Almost surely, 267229664 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 67229664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88683840).

67229664 is an abundant number, since it is smaller than the sum of its proper divisors (110138016).

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

67229664 is a wasteful number, since it uses less digits than its factorization.

67229664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3535 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 67229664 is about 8199.3697318757. The cubic root of 67229664 is about 406.6183561113.

The spelling of 67229664 in words is "sixty-seven million, two hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3319 3376 5064 6638 6752 9957 10128 13276 19914 20256 26552 39828 53104 79656 106208 159312 318624 700309 1400618 2100927 2801236 4201854 5602472 8403708 11204944 16807416 22409888 33614832 67229664