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21234444 = 223741167
BaseRepresentation
bin101000100000…
…0001100001100
31110221211011220
41101000030030
520414000234
62035043340
7345330000
oct121001414
943854156
1021234444
1110a93830
127140550
13452627a
142b6a700
151ce6a49
hex144030c

21234444 has 120 divisors (see below), whose sum is σ = 63997248. Its totient is φ = 5433120.

The previous prime is 21234443. The next prime is 21234461. The reversal of 21234444 is 44443212.

It is a happy number.

It is a super-2 number, since 2×212344442 = 901803223978272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21234443) 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 39 ways as a sum of consecutive naturals, for example, 316899 + ... + 316965.

Almost surely, 221234444 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 21234444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998624).

21234444 is an abundant number, since it is smaller than the sum of its proper divisors (42762804).

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

21234444 is a wasteful number, since it uses less digits than its factorization.

21234444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 21234444 is about 4608.0846346394. The cubic root of 21234444 is about 276.9153081629.

Adding to 21234444 its reverse (44443212), we get a palindrome (65677656).

The spelling of 21234444 in words is "twenty-one million, two hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 67 77 84 98 132 134 147 154 196 201 231 268 294 308 343 402 462 469 539 588 686 737 804 924 938 1029 1078 1372 1407 1474 1617 1876 2058 2156 2211 2401 2814 2948 3234 3283 3773 4116 4422 4802 5159 5628 6468 6566 7203 7546 8844 9604 9849 10318 11319 13132 14406 15092 15477 19698 20636 22638 22981 26411 28812 30954 36113 39396 45276 45962 52822 61908 68943 72226 79233 91924 105644 108339 137886 144452 158466 160867 216678 252791 275772 316932 321734 433356 482601 505582 643468 758373 965202 1011164 1516746 1769537 1930404 3033492 3539074 5308611 7078148 10617222 21234444