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212700440 = 235192391171
BaseRepresentation
bin11001010110110…
…00110100011000
3112211020022011002
430223120310120
5413422403230
633034524132
75161631621
oct1453306430
9484208132
10212700440
11aa077a97
125b296648
13350b3064
142036aa48
1513a17545
hexcad8d18

212700440 has 64 divisors (see below), whose sum is σ = 506304000. Its totient is φ = 80196480.

The previous prime is 212700419. The next prime is 212700443. The reversal of 212700440 is 44007212.

212700440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212700443) 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 15 ways as a sum of consecutive naturals, for example, 181055 + ... + 182225.

It is an arithmetic number, because the mean of its divisors is an integer number (7911000).

Almost surely, 2212700440 is an apocalyptic number.

212700440 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 212700440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253152000).

212700440 is an abundant number, since it is smaller than the sum of its proper divisors (293603560).

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

212700440 is a wasteful number, since it uses less digits than its factorization.

212700440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 212700440 is about 14584.2531519444. The cubic root of 212700440 is about 596.9291619208.

Adding to 212700440 its reverse (44007212), we get a palindrome (256707652).

The spelling of 212700440 in words is "two hundred twelve million, seven hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 239 380 478 760 956 1171 1195 1912 2342 2390 4541 4684 4780 5855 9082 9368 9560 11710 18164 22249 22705 23420 36328 44498 45410 46840 88996 90820 111245 177992 181640 222490 279869 444980 559738 889960 1119476 1399345 2238952 2798690 5317511 5597380 10635022 11194760 21270044 26587555 42540088 53175110 106350220 212700440