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212104440 = 23335277709
BaseRepresentation
bin11001010010001…
…11010011111000
3112210010000121000
430221013103320
5413244320230
633014045000
75153600202
oct1451072370
9483100530
10212104440
11a9800229
125b049760
1334c349b2
1420253772
151394ab60
hexca474f8

212104440 has 128 divisors (see below), whose sum is σ = 710568000. Its totient is φ = 56277504.

The previous prime is 212104397. The next prime is 212104447. The reversal of 212104440 is 44401212.

212104440 is a `hidden beast` number, since 212 + 10 + 4 + 440 = 666.

212104440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212104447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298806 + ... + 299514.

Almost surely, 2212104440 is an apocalyptic number.

212104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355284000).

212104440 is an abundant number, since it is smaller than the sum of its proper divisors (498463560).

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

212104440 is a wasteful number, since it uses less digits than its factorization.

212104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212104440 is about 14563.8058212817. The cubic root of 212104440 is about 596.3710960086.

Adding to 212104440 its reverse (44401212), we get a palindrome (256505652).

The spelling of 212104440 in words is "two hundred twelve million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 277 360 540 554 709 831 1080 1108 1385 1418 1662 2127 2216 2493 2770 2836 3324 3545 4155 4254 4986 5540 5672 6381 6648 7090 7479 8310 8508 9972 10635 11080 12465 12762 14180 14958 16620 17016 19143 19944 21270 24930 25524 28360 29916 31905 33240 37395 38286 42540 49860 51048 59832 63810 74790 76572 85080 95715 99720 127620 149580 153144 191430 196393 255240 299160 382860 392786 589179 765720 785572 981965 1178358 1571144 1767537 1963930 2356716 2945895 3535074 3927860 4713432 5302611 5891790 7070148 7855720 8837685 10605222 11783580 14140296 17675370 21210444 23567160 26513055 35350740 42420888 53026110 70701480 106052220 212104440