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67444220 = 22531181601
BaseRepresentation
bin1000000010100…
…01110111111100
311200220112002002
410001101313330
5114231203340
610405321432
71446160244
oct401216774
9150815062
1067444220
1135085928
121a706278
1310c8542c
148d58b24
155dc3715
hex4051dfc

67444220 has 48 divisors (see below), whose sum is σ = 147254016. Its totient is φ = 25920000.

The previous prime is 67444207. The next prime is 67444231. The reversal of 67444220 is 2244476.

It is a super-2 number, since 2×674442202 = 9097445622816800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111920 + ... + 112520.

It is an arithmetic number, because the mean of its divisors is an integer number (3067792).

Almost surely, 267444220 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 67444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73627008).

67444220 is an abundant number, since it is smaller than the sum of its proper divisors (79809796).

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

67444220 is a wasteful number, since it uses less digits than its factorization.

67444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 67444220 is about 8212.4429982801. The cubic root of 67444220 is about 407.0504558664.

Adding to 67444220 its reverse (2244476), we get a palindrome (69688696).

The spelling of 67444220 in words is "sixty-seven million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 310 362 601 620 724 905 1202 1810 2404 3005 3620 5611 6010 11222 12020 18631 22444 28055 37262 56110 74524 93155 108781 112220 186310 217562 372620 435124 543905 1087810 2175620 3372211 6744422 13488844 16861055 33722110 67444220