Search a number
-
+
212430040 = 23517929669
BaseRepresentation
bin11001010100101…
…10110011011000
3112210201120020021
430222112303120
5413340230130
633025040224
75156424364
oct1452266330
9483646207
10212430040
11a9a02919
125b186074
1335019c64
14202da2a4
15139b237a
hexca96cd8

212430040 has 32 divisors (see below), whose sum is σ = 480654000. Its totient is φ = 84494464.

The previous prime is 212430037. The next prime is 212430077. The reversal of 212430040 is 40034212.

212430040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212429996 and 212430023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7675 + ... + 21994.

Almost surely, 2212430040 is an apocalyptic number.

212430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212430040 is an abundant number, since it is smaller than the sum of its proper divisors (268223960).

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

212430040 is a wasteful number, since it uses less digits than its factorization.

212430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29859 (or 29855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212430040 is about 14574.9799313755. The cubic root of 212430040 is about 596.6761016509.

Adding to 212430040 its reverse (40034212), we get a palindrome (252464252).

The spelling of 212430040 in words is "two hundred twelve million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 29669 59338 118676 148345 237352 296690 593380 1186760 5310751 10621502 21243004 26553755 42486008 53107510 106215020 212430040