Search a number
-
+
212211210040 = 23524122013611
BaseRepresentation
bin1100010110100011000…
…1100001011100111000
3202021202100211102112221
43011220301201130320
511434102032210130
6241253302413424
721221535344314
oct3055061413470
9667670742487
10212211210040
1181aa8772025
1235165131274
131701c16454b
14a3b1b9cb44
1557c051587a
hex3168c61738

212211210040 has 32 divisors (see below), whose sum is σ = 479456469360. Its totient is φ = 84532262400.

The previous prime is 212211210037. The next prime is 212211210077. The reversal of 212211210040 is 40012112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211209996 and 212211210023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10997166 + ... + 11016445.

Almost surely, 2212211210040 is an apocalyptic number.

212211210040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211210040 is an abundant number, since it is smaller than the sum of its proper divisors (267245259320).

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

212211210040 is a wasteful number, since it uses less digits than its factorization.

212211210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22013863 (or 22013859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211210040 its reverse (40012112212), we get a palindrome (252223322252).

The spelling of 212211210040 in words is "two hundred twelve billion, two hundred eleven million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 9640 22013611 44027222 88054444 110068055 176108888 220136110 440272220 880544440 5305280251 10610560502 21221121004 26526401255 42442242008 53052802510 106105605020 212211210040