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212020064 = 2537331541
BaseRepresentation
bin11001010001100…
…10101101100000
3112202221201211222
430220302231200
5413234120224
633012154212
75153066204
oct1450625540
9482851758
10212020064
11a97528a3
125b008968
1334c05479
1420230b04
1513930b5e
hexca32b60

212020064 has 48 divisors (see below), whose sum is σ = 430785936. Its totient is φ = 102643200.

The previous prime is 212020063. The next prime is 212020103. The reversal of 212020064 is 460020212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020063) 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, 391634 + ... + 392174.

It is an arithmetic number, because the mean of its divisors is an integer number (8974707).

Almost surely, 2212020064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215392968).

212020064 is an abundant number, since it is smaller than the sum of its proper divisors (218765872).

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

212020064 is a wasteful number, since it uses less digits than its factorization.

212020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212020064 is about 14560.9087628486. The cubic root of 212020064 is about 596.2920059127.

Adding to 212020064 its reverse (460020212), we get a palindrome (672040276).

The spelling of 212020064 in words is "two hundred twelve million, twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 331 541 592 662 1082 1184 1324 2164 2648 4328 5296 8656 10592 12247 17312 20017 24494 40034 48988 80068 97976 160136 179071 195952 320272 358142 391904 640544 716284 1432568 2865136 5730272 6625627 13251254 26502508 53005016 106010032 212020064