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212001540 = 22353533359
BaseRepresentation
bin11001010001011…
…10001100000100
3112202220210102220
430220232030010
5413233022130
633011532340
75152661202
oct1450561404
9482823386
10212001540
11a973a993
125abba0b0
1334bc9bca
1420228072
151392a410
hexca2e304

212001540 has 24 divisors (see below), whose sum is σ = 593604480. Its totient is φ = 56533728.

The previous prime is 212001523. The next prime is 212001541. The reversal of 212001540 is 45100212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212001541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1766620 + ... + 1766739.

It is an arithmetic number, because the mean of its divisors is an integer number (24733520).

Almost surely, 2212001540 is an apocalyptic number.

212001540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001540 is an abundant number, since it is smaller than the sum of its proper divisors (381602940).

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

212001540 is a wasteful number, since it uses less digits than its factorization.

212001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533371 (or 3533369 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 212001540 is about 14560.2726622821. The cubic root of 212001540 is about 596.2746395770.

Adding to 212001540 its reverse (45100212), we get a palindrome (257101752).

The spelling of 212001540 in words is "two hundred twelve million, one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3533359 7066718 10600077 14133436 17666795 21200154 35333590 42400308 53000385 70667180 106000770 212001540