Search a number
-
+
211924836 = 2234654089
BaseRepresentation
bin11001010000110…
…11011101100100
3112202202220020000
430220123131210
5413223043321
633010141300
75152221444
oct1450333544
9482686200
10211924836
11a96982a2
125ab81830
1334ba1016
1420208124
1513912826
hexca1b764

211924836 has 30 divisors (see below), whose sum is σ = 554014230. Its totient is φ = 70641504.

The previous prime is 211924787. The next prime is 211924871. The reversal of 211924836 is 638429112.

211924836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211527936 + 396900 = 14544^2 + 630^2 .

It is a super-2 number, since 2×2119248362 = 89824272227253792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 211924836.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 326721 + ... + 327368.

It is an arithmetic number, because the mean of its divisors is an integer number (18467141).

Almost surely, 2211924836 is an apocalyptic number.

It is an amenable number.

211924836 is an abundant number, since it is smaller than the sum of its proper divisors (342089394).

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

211924836 is a wasteful number, since it uses less digits than its factorization.

211924836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654105 (or 654094 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 211924836 is about 14557.6384073791. The cubic root of 211924836 is about 596.2027184532.

The spelling of 211924836 in words is "two hundred eleven million, nine hundred twenty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 654089 1308178 1962267 2616356 3924534 5886801 7849068 11773602 17660403 23547204 35320806 52981209 70641612 105962418 211924836