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212371840 = 275437717
BaseRepresentation
bin11001010100010…
…00100110000000
3112210121121101201
430222020212000
5413331344330
633023510544
75156062612
oct1452104600
9483547351
10212371840
11a997311a
125b158454
1334cc9615
14202c2db2
151399eeca
hexca88980

212371840 has 64 divisors (see below), whose sum is σ = 519575760. Its totient is φ = 82962432.

The previous prime is 212371787. The next prime is 212371847. The reversal of 212371840 is 48173212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212371799 and 212371808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212371847) 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, 23662 + ... + 31378.

Almost surely, 2212371840 is an apocalyptic number.

212371840 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 212371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259787880).

212371840 is an abundant number, since it is smaller than the sum of its proper divisors (307203920).

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

212371840 is an equidigital number, since it uses as much as digits as its factorization.

212371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 212371840 is about 14572.9832223879. The cubic root of 212371840 is about 596.6216057159.

The spelling of 212371840 in words is "two hundred twelve million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 7717 13760 15434 27520 30868 38585 61736 77170 123472 154340 246944 308680 331831 493888 617360 663662 987776 1234720 1327324 1659155 2469440 2654648 3318310 4938880 5309296 6636620 10618592 13273240 21237184 26546480 42474368 53092960 106185920 212371840