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212231700 = 223252235813
BaseRepresentation
bin11001010011001…
…10011000010100
3112210100111011100
430221212120110
5413312403300
633020510100
75154640212
oct1451463024
9483314140
10212231700
11a98878aa
125b0ab330
1334c7a8b5
1420287cb2
1513973700
hexca66614

212231700 has 54 divisors (see below), whose sum is σ = 665231294. Its totient is φ = 56594880.

The previous prime is 212231693. The next prime is 212231707. The reversal of 212231700 is 7132212.

It is an interprime number because it is at equal distance from previous prime (212231693) and next prime (212231707).

It can be written as a sum of positive squares in 3 ways, for example, as 1052676 + 211179024 = 1026^2 + 14532^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212231707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117007 + ... + 118806.

Almost surely, 2212231700 is an apocalyptic number.

212231700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212231700 is an abundant number, since it is smaller than the sum of its proper divisors (452999594).

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

212231700 is a wasteful number, since it uses less digits than its factorization.

212231700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235833 (or 235823 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 212231700 is about 14568.1742164212. The cubic root of 212231700 is about 596.4903438852.

Adding to 212231700 its reverse (7132212), we get a palindrome (219363912).

The spelling of 212231700 in words is "two hundred twelve million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235813 471626 707439 943252 1179065 1414878 2122317 2358130 2829756 3537195 4244634 4716260 5895325 7074390 8489268 10611585 11790650 14148780 17685975 21223170 23581300 35371950 42446340 53057925 70743900 106115850 212231700