Search a number
-
+
212974686 = 23219896997
BaseRepresentation
bin11001011000110…
…11110001011110
3112211202020100100
430230123301132
5414010142221
633044441530
75164153311
oct1454336136
9484666310
10212974686
11aa245041
125b3a92a6
133517ab32
14203dc978
1513a6d926
hexcb1bc5e

212974686 has 48 divisors (see below), whose sum is σ = 491259600. Its totient is φ = 66489984.

The previous prime is 212974679. The next prime is 212974703. The reversal of 212974686 is 686479212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26940 + ... + 33936.

It is an arithmetic number, because the mean of its divisors is an integer number (10234575).

Almost surely, 2212974686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212974686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245629800).

212974686 is an abundant number, since it is smaller than the sum of its proper divisors (278284914).

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

212974686 is a wasteful number, since it uses less digits than its factorization.

212974686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7110 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 212974686 is about 14593.6522502080. The cubic root of 212974686 is about 597.1856025864.

The spelling of 212974686 in words is "two hundred twelve million, nine hundred seventy-four thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 1602 1691 3382 5073 6997 10146 13994 15219 20991 30438 41982 62973 125946 132943 265886 398829 622733 797658 1196487 1245466 1868199 2392974 3736398 5604597 11209194 11831927 23663854 35495781 70991562 106487343 212974686