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212011452 = 22332238803
BaseRepresentation
bin11001010001100…
…00100110111100
3112202221022001000
430220300212330
5413233331302
633012050300
75153032122
oct1450604674
9482838030
10212011452
11a9747384
125b003990
1334c01583
142022b912
151392d31c
hexca309bc

212011452 has 48 divisors (see below), whose sum is σ = 552186880. Its totient is φ = 70345584.

The previous prime is 212011441. The next prime is 212011453. The reversal of 212011452 is 254110212.

212011452 is a `hidden beast` number, since 212 + 0 + 1 + 1 + 452 = 666.

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 (212011453) 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 15 ways as a sum of consecutive naturals, for example, 19683 + ... + 28485.

Almost surely, 2212011452 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 212011452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276093440).

212011452 is an abundant number, since it is smaller than the sum of its proper divisors (340175428).

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

212011452 is a wasteful number, since it uses less digits than its factorization.

212011452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212011452 is about 14560.6130365449. The cubic root of 212011452 is about 596.2839322487.

Adding to 212011452 its reverse (254110212), we get a palindrome (466121664).

The spelling of 212011452 in words is "two hundred twelve million, eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 6021 8028 8803 12042 17606 24084 26409 35212 52818 79227 105636 158454 237681 316908 475362 950724 1963069 3926138 5889207 7852276 11778414 17667621 23556828 35335242 53002863 70670484 106005726 212011452