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214711820 = 22510735591
BaseRepresentation
bin11001100110000…
…11111000001100
3112222000111020122
430303003320030
5414431234240
633150004112
75215006661
oct1463037014
9488014218
10214711820
11100221194
125baa6638
133563871b
1420731a68
1513cb34b5
hexccc3e0c

214711820 has 12 divisors (see below), whose sum is σ = 450894864. Its totient is φ = 85884720.

The previous prime is 214711813. The next prime is 214711823. The reversal of 214711820 is 28117412.

It is a super-2 number, since 2×2147118202 = 92202331295424800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214711820.

It is not an unprimeable number, because it can be changed into a prime (214711823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5367776 + ... + 5367815.

It is an arithmetic number, because the mean of its divisors is an integer number (37574572).

Almost surely, 2214711820 is an apocalyptic number.

214711820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214711820 is an abundant number, since it is smaller than the sum of its proper divisors (236183044).

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

214711820 is a wasteful number, since it uses less digits than its factorization.

214711820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735600 (or 10735598 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 214711820 is about 14653.0481470580. The cubic root of 214711820 is about 598.8048617289.

It can be divided in two parts, 21471 and 1820, that multiplied together give a triangular number (39077220 = T8840).

The spelling of 214711820 in words is "two hundred fourteen million, seven hundred eleven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 10735591 21471182 42942364 53677955 107355910 214711820