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212050912 = 25311811181
BaseRepresentation
bin11001010001110…
…10001111100000
3112210000022011111
430220322033200
5413241112122
633012553104
75153255143
oct1450721740
9483008144
10212050912
11a9773a97
125b022794
1334c16518
142023c05a
1513939d77
hexca3a3e0

212050912 has 48 divisors (see below), whose sum is σ = 433689984. Its totient is φ = 101952000.

The previous prime is 212050907. The next prime is 212050921. The reversal of 212050912 is 219050212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178962 + ... + 180142.

It is an arithmetic number, because the mean of its divisors is an integer number (9035208).

Almost surely, 2212050912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212050912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216844992).

212050912 is an abundant number, since it is smaller than the sum of its proper divisors (221639072).

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

212050912 is a wasteful number, since it uses less digits than its factorization.

212050912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 212050912 is about 14561.9679988661. The cubic root of 212050912 is about 596.3209238108.

The spelling of 212050912 in words is "two hundred twelve million, fifty thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 181 248 362 496 724 992 1181 1448 2362 2896 4724 5611 5792 9448 11222 18896 22444 36611 37792 44888 73222 89776 146444 179552 213761 292888 427522 585776 855044 1171552 1710088 3420176 6626591 6840352 13253182 26506364 53012728 106025456 212050912