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211421440 = 285165173
BaseRepresentation
bin11001001101000…
…00100100000000
3112201211022200201
430212200210000
5413110441230
632551254544
75145024016
oct1446404400
9481738621
10211421440
11a938406a
125a97a454
1334a55b59
14201168b6
15138635ca
hexc9a0900

211421440 has 36 divisors (see below), whose sum is σ = 506423484. Its totient is φ = 84568064.

The previous prime is 211421437. The next prime is 211421443. The reversal of 211421440 is 44124112.

It is an interprime number because it is at equal distance from previous prime (211421437) and next prime (211421443).

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 155351296 = 7488^2 + 12464^2 .

It is not an unprimeable number, because it can be changed into a prime (211421443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81307 + ... + 83866.

It is an arithmetic number, because the mean of its divisors is an integer number (14067319).

Almost surely, 2211421440 is an apocalyptic number.

211421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421440 is an abundant number, since it is smaller than the sum of its proper divisors (295002044).

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

211421440 is an equidigital number, since it uses as much as digits as its factorization.

211421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165194 (or 165180 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 211421440 is about 14540.3383729540. The cubic root of 211421440 is about 595.7302804914.

Adding to 211421440 its reverse (44124112), we get a palindrome (255545552).

The spelling of 211421440 in words is "two hundred eleven million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 165173 330346 660692 825865 1321384 1651730 2642768 3303460 5285536 6606920 10571072 13213840 21142144 26427680 42284288 52855360 105710720 211421440