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22642064 = 244013529
BaseRepresentation
bin101011001011…
…1110110010000
31120121100001222
41112113312100
521244021224
62125144212
7363311564
oct126276620
946540058
1022642064
1111865355
1276bb068
1348c9b93
1430156a4
151ec3b5e
hex1597d90

22642064 has 20 divisors (see below), whose sum is σ = 43990860. Its totient is φ = 11289600.

The previous prime is 22642063. The next prime is 22642141. The reversal of 22642064 is 46024622.

It can be written as a sum of positive squares in 2 ways, for example, as 13690000 + 8952064 = 3700^2 + 2992^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22642063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4652 + ... + 8180.

It is an arithmetic number, because the mean of its divisors is an integer number (2199543).

Almost surely, 222642064 is an apocalyptic number.

It is an amenable number.

22642064 is a deficient number, since it is larger than the sum of its proper divisors (21348796).

22642064 is a wasteful number, since it uses less digits than its factorization.

22642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 22642064 is about 4758.3677873826. The cubic root of 22642064 is about 282.9037284862.

Adding to 22642064 its reverse (46024622), we get a palindrome (68666686).

The spelling of 22642064 in words is "twenty-two million, six hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 401 802 1604 3208 3529 6416 7058 14116 28232 56464 1415129 2830258 5660516 11321032 22642064