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211422440 = 23523376211
BaseRepresentation
bin11001001101000…
…00110011101000
3112201211101001202
430212200303220
5413111004230
632551303332
75145026645
oct1446406350
9481741052
10211422440
11a9384899
125a97ab48
1334a56448
1420116dcc
1513863a45
hexc9a0ce8

211422440 has 64 divisors (see below), whose sum is σ = 509880960. Its totient is φ = 78693120.

The previous prime is 211422427. The next prime is 211422467. The reversal of 211422440 is 44224112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30935 + ... + 37145.

It is an arithmetic number, because the mean of its divisors is an integer number (7966890).

Almost surely, 2211422440 is an apocalyptic number.

211422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254940480).

211422440 is an abundant number, since it is smaller than the sum of its proper divisors (298458520).

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

211422440 is a wasteful number, since it uses less digits than its factorization.

211422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 211422440 is about 14540.3727600086. The cubic root of 211422440 is about 595.7312197360.

Adding to 211422440 its reverse (44224112), we get a palindrome (255646552).

The spelling of 211422440 in words is "two hundred eleven million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3404 4255 6211 6808 8510 12422 17020 24844 31055 34040 49688 62110 124220 142853 229807 248440 285706 459614 571412 714265 919228 1142824 1149035 1428530 1838456 2298070 2857060 4596140 5285561 5714120 9192280 10571122 21142244 26427805 42284488 52855610 105711220 211422440