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212313440 = 25511311743
BaseRepresentation
bin11001010011110…
…10010101100000
3112210111122021202
430221322111200
5413323012230
633022340332
75155430423
oct1451722540
9483448252
10212313440
11a9933259
125b12a6a8
1334ca8b71
14202a99ba
151398ca45
hexca7a560

212313440 has 48 divisors (see below), whose sum is σ = 506072448. Its totient is φ = 84166656.

The previous prime is 212313433. The next prime is 212313461. The reversal of 212313440 is 44313212.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12209 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (10543176).

Almost surely, 2212313440 is an apocalyptic number.

212313440 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 212313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253036224).

212313440 is an abundant number, since it is smaller than the sum of its proper divisors (293759008).

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

212313440 is a wasteful number, since it uses less digits than its factorization.

212313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11863 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 212313440 is about 14570.9793768298. The cubic root of 212313440 is about 596.5669125010.

Adding to 212313440 its reverse (44313212), we get a palindrome (256626652).

The spelling of 212313440 in words is "two hundred twelve million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 11743 18080 23486 46972 58715 93944 117430 187888 234860 375776 469720 939440 1326959 1878880 2653918 5307836 6634795 10615672 13269590 21231344 26539180 42462688 53078360 106156720 212313440