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212214924 = 22332967757
BaseRepresentation
bin11001010011000…
…10010010001100
3112210022122011000
430221202102030
5413311334144
633020300300
75154540255
oct1451422214
9483278130
10212214924
11a9876239
125b0a1690
1334c7307c
1420281b2c
151396d769
hexca6248c

212214924 has 48 divisors (see below), whose sum is σ = 569167200. Its totient is φ = 68298048.

The previous prime is 212214883. The next prime is 212214973. The reversal of 212214924 is 429412212.

212214924 is digitally balanced in base 3, 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 (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30747 + ... + 37010.

It is an arithmetic number, because the mean of its divisors is an integer number (11857650).

Almost surely, 2212214924 is an apocalyptic number.

It is an amenable number.

212214924 is an abundant number, since it is smaller than the sum of its proper divisors (356952276).

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

212214924 is a wasteful number, since it uses less digits than its factorization.

212214924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67799 (or 67791 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212214924 is about 14567.5984293912. The cubic root of 212214924 is about 596.4746268085.

The spelling of 212214924 in words is "two hundred twelve million, two hundred fourteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 67757 135514 203271 271028 406542 609813 813084 1219626 1829439 1964953 2439252 3658878 3929906 5894859 7317756 7859812 11789718 17684577 23579436 35369154 53053731 70738308 106107462 212214924