Search a number
-
+
211444080 = 2435881017
BaseRepresentation
bin11001001101001…
…10000101110000
3112201212110202020
430212212011300
5413112202310
632551551440
75145150021
oct1446460560
9481773666
10211444080
11a939a081
125a98b580
1334a63253
1420120c48
151386a170
hexc9a6170

211444080 has 40 divisors (see below), whose sum is σ = 655477392. Its totient is φ = 56385024.

The previous prime is 211444061. The next prime is 211444081. The reversal of 211444080 is 80444112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211444080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211444081) 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, 440269 + ... + 440748.

Almost surely, 2211444080 is an apocalyptic number.

211444080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211444080 is an abundant number, since it is smaller than the sum of its proper divisors (444033312).

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

211444080 is a wasteful number, since it uses less digits than its factorization.

211444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881033 (or 881027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 211444080 is about 14541.1168759487. The cubic root of 211444080 is about 595.7515442638.

Adding to 211444080 its reverse (80444112), we get a palindrome (291888192).

The spelling of 211444080 in words is "two hundred eleven million, four hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 881017 1762034 2643051 3524068 4405085 5286102 7048136 8810170 10572204 13215255 14096272 17620340 21144408 26430510 35240680 42288816 52861020 70481360 105722040 211444080