Search a number
-
+
212769312 = 2537316621
BaseRepresentation
bin11001010111010…
…01101000100000
3112211100210121220
430223221220200
5413432104222
633040215040
75162336460
oct1453515040
9484323556
10212769312
11aa114808
125b30a480
1335108502
1420387ba0
1513a2cb5c
hexcae9a20

212769312 has 48 divisors (see below), whose sum is σ = 638309952. Its totient is φ = 60791040.

The previous prime is 212769307. The next prime is 212769313. The reversal of 212769312 is 213967212.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (212769313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157639 + ... + 158982.

It is an arithmetic number, because the mean of its divisors is an integer number (13298124).

Almost surely, 2212769312 is an apocalyptic number.

It is an amenable number.

212769312 is an abundant number, since it is smaller than the sum of its proper divisors (425540640).

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

212769312 is a wasteful number, since it uses less digits than its factorization.

212769312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316641 (or 316633 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 212769312 is about 14586.6141376263. The cubic root of 212769312 is about 596.9935831458.

The spelling of 212769312 in words is "two hundred twelve million, seven hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 316621 633242 949863 1266484 1899726 2216347 2532968 3799452 4432694 5065936 6649041 7598904 8865388 10131872 13298082 15197808 17730776 26596164 30395616 35461552 53192328 70923104 106384656 212769312