Search a number
-
+
211474312 = 23731611997
BaseRepresentation
bin11001001101011…
…01011110001000
3112201221000012221
430212231132020
5413114134222
632552343424
75145334120
oct1446553610
9481830187
10211474312
11a940a865
125a9a4b74
1334a73c3a
142012bc80
15138740c7
hexc9ad788

211474312 has 64 divisors (see below), whose sum is σ = 475683840. Its totient is φ = 86227200.

The previous prime is 211474309. The next prime is 211474327. The reversal of 211474312 is 213474112.

211474312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2114743124 (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104898 + ... + 106894.

It is an arithmetic number, because the mean of its divisors is an integer number (7432560).

Almost surely, 2211474312 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 211474312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

211474312 is an abundant number, since it is smaller than the sum of its proper divisors (264209528).

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

211474312 is a wasteful number, since it uses less digits than its factorization.

211474312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 211474312 is about 14542.1563737982. The cubic root of 211474312 is about 595.7799361715.

The spelling of 211474312 in words is "two hundred eleven million, four hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 61 62 122 124 217 244 248 427 434 488 854 868 1708 1736 1891 1997 3416 3782 3994 7564 7988 13237 13979 15128 15976 26474 27958 52948 55916 61907 105896 111832 121817 123814 243634 247628 433349 487268 495256 852719 866698 974536 1705438 1733396 3410876 3466792 3776327 6821752 7552654 15105308 26434289 30210616 52868578 105737156 211474312