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211484112 = 2437629417
BaseRepresentation
bin11001001101011…
…11110111010000
3112201221111122220
430212233313100
5413114442422
632552501040
75145404520
oct1446576720
9481844586
10211484112
11a9417164
125a9aa780
1334a78538
1420131680
1513876e5c
hexc9afdd0

211484112 has 40 divisors (see below), whose sum is σ = 624382656. Its totient is φ = 60423936.

The previous prime is 211484071. The next prime is 211484113.

211484112 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211484113) 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, 314373 + ... + 315044.

Almost surely, 2211484112 is an apocalyptic number.

It is an amenable number.

211484112 is an abundant number, since it is smaller than the sum of its proper divisors (412898544).

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

211484112 is a wasteful number, since it uses less digits than its factorization.

211484112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629435 (or 629429 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 211484112 is about 14542.4933212981. The cubic root of 211484112 is about 595.7891391067.

The spelling of 211484112 in words is "two hundred eleven million, four hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 629417 1258834 1888251 2517668 3776502 4405919 5035336 7553004 8811838 10070672 13217757 15106008 17623676 26435514 30212016 35247352 52871028 70494704 105742056 211484112