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21122064 = 2432146681
BaseRepresentation
bin101000010010…
…0110000010000
31110202010000200
41100210300100
520401401224
62032415200
7344351235
oct120446020
943663020
1021122064
1110a17357
1270a7500
1344b7082
142b3b78c
151cc35c9
hex1424c10

21122064 has 30 divisors (see below), whose sum is σ = 59112846. Its totient is φ = 7040640.

The previous prime is 21122033. The next prime is 21122069. The reversal of 21122064 is 46022112.

It can be written as a sum of positive squares in only one way, i.e., 19184400 + 1937664 = 4380^2 + 1392^2 .

It is a super-2 number, since 2×211220642 = 892283175240192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21122069) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 73197 + ... + 73484.

Almost surely, 221122064 is an apocalyptic number.

21122064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21122064 is an abundant number, since it is smaller than the sum of its proper divisors (37990782).

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

21122064 is a wasteful number, since it uses less digits than its factorization.

21122064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146695 (or 146686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21122064 is about 4595.8746719205. The cubic root of 21122064 is about 276.4259333980.

Adding to 21122064 its reverse (46022112), we get a palindrome (67144176).

The spelling of 21122064 in words is "twenty-one million, one hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 146681 293362 440043 586724 880086 1173448 1320129 1760172 2346896 2640258 3520344 5280516 7040688 10561032 21122064