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212768300 = 22524349481
BaseRepresentation
bin11001010111010…
…01011000101100
3112211100202020102
430223221120230
5413432041200
633040210232
75162333513
oct1453513054
9484322212
10212768300
11aa113a78
125b309978
1335107c04
142038767a
1513a2c6d5
hexcae962c

212768300 has 36 divisors (see below), whose sum is σ = 472454136. Its totient is φ = 83126400.

The previous prime is 212768299. The next prime is 212768329. The reversal of 212768300 is 3867212.

It is a happy number.

212768300 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20441 + ... + 29040.

It is an arithmetic number, because the mean of its divisors is an integer number (13123726).

Almost surely, 2212768300 is an apocalyptic number.

212768300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212768300 is an abundant number, since it is smaller than the sum of its proper divisors (259685836).

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

212768300 is a wasteful number, since it uses less digits than its factorization.

212768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49538 (or 49531 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 212768300 is about 14586.5794482463. The cubic root of 212768300 is about 596.9926366458.

The spelling of 212768300 in words is "two hundred twelve million, seven hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 49481 98962 197924 247405 494810 989620 1237025 2127683 2474050 4255366 4948100 8510732 10638415 21276830 42553660 53192075 106384150 212768300