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212522040 = 233253971487
BaseRepresentation
bin11001010101011…
…01010000111000
3112210220020102200
430222231100320
5413401201130
633031030200
75160256533
oct1452552070
9483806380
10212522040
11a9a65a55
125b20b360
133504cab3
1420321a1a
15139ce760
hexcaad438

212522040 has 96 divisors (see below), whose sum is σ = 692902080. Its totient is φ = 56491776.

The previous prime is 212522033. The next prime is 212522059. The reversal of 212522040 is 40225212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 142177 + ... + 143663.

It is an arithmetic number, because the mean of its divisors is an integer number (7217730).

Almost surely, 2212522040 is an apocalyptic number.

212522040 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 212522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346451040).

212522040 is an abundant number, since it is smaller than the sum of its proper divisors (480380040).

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

212522040 is a wasteful number, since it uses less digits than its factorization.

212522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212522040 is about 14578.1356832758. The cubic root of 212522040 is about 596.7622261285.

Adding to 212522040 its reverse (40225212), we get a palindrome (252747252).

The spelling of 212522040 in words is "two hundred twelve million, five hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1487 1588 1985 2382 2974 3176 3573 3970 4461 4764 5948 5955 7146 7435 7940 8922 9528 11896 11910 13383 14292 14870 15880 17844 17865 22305 23820 26766 28584 29740 35688 35730 44610 47640 53532 59480 66915 71460 89220 107064 133830 142920 178440 267660 535320 590339 1180678 1771017 2361356 2951695 3542034 4722712 5313051 5903390 7084068 8855085 10626102 11806780 14168136 17710170 21252204 23613560 26565255 35420340 42504408 53130510 70840680 106261020 212522040