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211422640 = 245111318481
BaseRepresentation
bin11001001101000…
…00110110110000
3112201211101100011
430212200312300
5413111011030
632551304304
75145030352
oct1446406660
9481741304
10211422640
11a9384a60
125a97b094
1334a56570
14201170d2
1513863b2a
hexc9a0db0

211422640 has 80 divisors (see below), whose sum is σ = 577525536. Its totient is φ = 70963200.

The previous prime is 211422623. The next prime is 211422677. The reversal of 211422640 is 46224112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2200 + ... + 20680.

Almost surely, 2211422640 is an apocalyptic number.

211422640 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 211422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288762768).

211422640 is an abundant number, since it is smaller than the sum of its proper divisors (366102896).

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

211422640 is a wasteful number, since it uses less digits than its factorization.

211422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 211422640 is about 14540.3796374097. The cubic root of 211422640 is about 595.7314075846.

Adding to 211422640 its reverse (46224112), we get a palindrome (257646752).

The spelling of 211422640 in words is "two hundred eleven million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 18481 36962 73924 92405 147848 184810 203291 240253 295696 369620 406582 480506 739240 813164 961012 1016455 1201265 1478480 1626328 1922024 2032910 2402530 2642783 3252656 3844048 4065820 4805060 5285566 8131640 9610120 10571132 13213915 16263280 19220240 21142264 26427830 42284528 52855660 105711320 211422640