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212002032 = 24311401519
BaseRepresentation
bin11001010001011…
…10010011110000
3112202220211010010
430220232103300
5413233031112
633011534520
75152662504
oct1450562360
9482824103
10212002032
11a97402a0
125abba440
1334bca1b8
1420228304
151392a63c
hexca2e4f0

212002032 has 40 divisors (see below), whose sum is σ = 597461760. Its totient is φ = 64242880.

The previous prime is 212002031. The next prime is 212002033. The reversal of 212002032 is 230200212.

212002032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212002031) and next prime (212002033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212001999 and 212002017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 200232 + ... + 201287.

It is an arithmetic number, because the mean of its divisors is an integer number (14936544).

Almost surely, 2212002032 is an apocalyptic number.

212002032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212002032 is an abundant number, since it is smaller than the sum of its proper divisors (385459728).

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

212002032 is a wasteful number, since it uses less digits than its factorization.

212002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401541 (or 401535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212002032 is about 14560.2895575603. The cubic root of 212002032 is about 596.2751008424.

Adding to 212002032 its reverse (230200212), we get a palindrome (442202244).

It can be divided in two parts, 21200 and 2032, that added together give a palindrome (23232).

The spelling of 212002032 in words is "two hundred twelve million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 401519 803038 1204557 1606076 2409114 3212152 4416709 4818228 6424304 8833418 9636456 13250127 17666836 19272912 26500254 35333672 53000508 70667344 106001016 212002032