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212240320 = 2652328837
BaseRepresentation
bin11001010011010…
…00011111000000
3112210100220222121
430221220133000
5413313142240
633021014024
75155004305
oct1451503700
9483326877
10212240320
11a9893326
125b0b4314
1334c817b6
142028b0ac
151397604a
hexca687c0

212240320 has 56 divisors (see below), whose sum is σ = 527389344. Its totient is φ = 81202176.

The previous prime is 212240309. The next prime is 212240321. The reversal of 212240320 is 23042212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212240294 and 212240303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212240321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7059 + ... + 21778.

Almost surely, 2212240320 is an apocalyptic number.

212240320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212240320 is an abundant number, since it is smaller than the sum of its proper divisors (315149024).

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

212240320 is a wasteful number, since it uses less digits than its factorization.

212240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28877 (or 28867 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212240320 is about 14568.4700638056. The cubic root of 212240320 is about 596.4984194572.

Adding to 212240320 its reverse (23042212), we get a palindrome (235282532).

The spelling of 212240320 in words is "two hundred twelve million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 28837 57674 115348 144185 230696 288370 461392 576740 663251 922784 1153480 1326502 1845568 2306960 2653004 3316255 4613920 5306008 6632510 9227840 10612016 13265020 21224032 26530040 42448064 53060080 106120160 212240320