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212305452 = 223179710729
BaseRepresentation
bin11001010011110…
…00011000101100
3112210111020022220
430221320120230
5413322233302
633022235340
75155365222
oct1451703054
9483436286
10212305452
11a9928257
125b125b50
1334ca5338
14202a6b12
151398a4bc
hexca7862c

212305452 has 48 divisors (see below), whose sum is σ = 529976160. Its totient is φ = 65912832.

The previous prime is 212305399. The next prime is 212305459. The reversal of 212305452 is 254503212.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (212305459) 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, 14424 + ... + 25152.

It is an arithmetic number, because the mean of its divisors is an integer number (11041170).

Almost surely, 2212305452 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 212305452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264988080).

212305452 is an abundant number, since it is smaller than the sum of its proper divisors (317670708).

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

212305452 is a wasteful number, since it uses less digits than its factorization.

212305452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 212305452 is about 14570.7052677624. The cubic root of 212305452 is about 596.5594307384.

Adding to 212305452 its reverse (254503212), we get a palindrome (466808664).

The spelling of 212305452 in words is "two hundred twelve million, three hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 582 1164 1649 3298 4947 6596 9894 10729 19788 21458 32187 42916 64374 128748 182393 364786 547179 729572 1040713 1094358 2081426 2188716 3122139 4162852 6244278 12488556 17692121 35384242 53076363 70768484 106152726 212305452