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212210400420 = 22335392982223
BaseRepresentation
bin1100010110100010111…
…0011011110010100100
3202021202022022021222000
43011220232123302210
511434101330303140
6241253233205300
721221525433024
oct3055056336244
9667668267860
10212210400420
1181aa8269817
1235164a00830
131701bc3cb95
14a3b1a2ba84
1557c0405a30
hex3168b9bca4

212210400420 has 48 divisors (see below), whose sum is σ = 660210136320. Its totient is φ = 56589439968.

The previous prime is 212210400361. The next prime is 212210400421. The reversal of 212210400420 is 24004012212.

212210400420 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 400 + 42 + 0 = 666.

212210400420 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 junction number, because it is equal to n+sod(n) for n = 212210400393 and 212210400402.

It is not an unprimeable number, because it can be changed into a prime (212210400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196490572 + ... + 196491651.

It is an arithmetic number, because the mean of its divisors is an integer number (13754377840).

Almost surely, 2212210400420 is an apocalyptic number.

212210400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210400420 is an abundant number, since it is smaller than the sum of its proper divisors (447999735900).

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

212210400420 is a wasteful number, since it uses less digits than its factorization.

212210400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392982241 (or 392982233 counting only the distinct ones).

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

Adding to 212210400420 its reverse (24004012212), we get a palindrome (236214412632).

The spelling of 212210400420 in words is "two hundred twelve billion, two hundred ten million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 392982223 785964446 1178946669 1571928892 1964911115 2357893338 3536840007 3929822230 4715786676 5894733345 7073680014 7859644460 10610520021 11789466690 14147360028 17684200035 21221040042 23578933380 35368400070 42442080084 53052600105 70736800140 106105200210 212210400420