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212324442 = 231173127347
BaseRepresentation
bin11001010011111…
…01000001011010
3112210112012101020
430221331001122
5413323340232
633022503310
75155504461
oct1451750132
9483465336
10212324442
11a9940550
125b134b36
1334cb0b85
14202ad9d8
1513990e2c
hexca7d05a

212324442 has 64 divisors (see below), whose sum is σ = 474660864. Its totient is φ = 62778240.

The previous prime is 212324419. The next prime is 212324459. The reversal of 212324442 is 244423212.

212324442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123244422 = 90163337341222728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611713 + ... + 612059.

It is an arithmetic number, because the mean of its divisors is an integer number (7416576).

Almost surely, 2212324442 is an apocalyptic number.

212324442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212324442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237330432).

212324442 is an abundant number, since it is smaller than the sum of its proper divisors (262336422).

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

212324442 is a wasteful number, since it uses less digits than its factorization.

212324442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563.

The product of its digits is 3072, while the sum is 24.

The square root of 212324442 is about 14571.3569031851. The cubic root of 212324442 is about 596.5772169449.

Adding to 212324442 its reverse (244423212), we get a palindrome (456747654).

It can be divided in two parts, 2123 and 24442, that added together give a triangular number (26565 = T230).

The spelling of 212324442 in words is "two hundred twelve million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 73 127 146 219 254 347 381 438 694 762 803 1041 1397 1606 2082 2409 2794 3817 4191 4818 7634 8382 9271 11451 18542 22902 25331 27813 44069 50662 55626 75993 88138 101981 132207 151986 203962 264414 278641 305943 484759 557282 611886 835923 969518 1454277 1671846 2908554 3217037 6434074 9651111 19302222 35387407 70774814 106162221 212324442