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213215253444 = 2232173371033801
BaseRepresentation
bin1100011010010010011…
…1101001001111000100
3202101100100010010011200
43012210213221033010
511443131101102234
6241541050502500
721255446515464
oct3064447511704
9671310103150
10213215253444
11824734a7766
12353a5434a30
131714c188c7b
14a46927dba4
15582d744d99
hex31a49e93c4

213215253444 has 72 divisors (see below), whose sum is σ = 572358274488. Its totient is φ = 66692505600.

The previous prime is 213215253439. The next prime is 213215253457. The reversal of 213215253444 is 444352512312.

It is a happy number.

213215253444 is a `hidden beast` number, since 2 + 1 + 32 + 1 + 52 + 534 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54363585600 + 158851667844 = 233160^2 + 398562^2 .

It is a super-3 number, since 3×2132152534443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213215253399 and 213215253408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310657 + ... + 723144.

It is an arithmetic number, because the mean of its divisors is an integer number (7949420479).

Almost surely, 2213215253444 is an apocalyptic number.

It is an amenable number.

213215253444 is an abundant number, since it is smaller than the sum of its proper divisors (359143021044).

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

213215253444 is a wasteful number, since it uses less digits than its factorization.

213215253444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034165 (or 1034160 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 213215253444 its reverse (444352512312), we get a palindrome (657567765756).

The spelling of 213215253444 in words is "two hundred thirteen billion, two hundred fifteen million, two hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 337 612 674 1011 1348 2022 3033 4044 5729 6066 11458 12132 17187 22916 34374 51561 68748 103122 206244 1033801 2067602 3101403 4135204 6202806 9304209 12405612 17574617 18608418 35149234 37216836 52723851 70298468 105447702 158171553 210895404 316343106 348390937 632686212 696781874 1045172811 1393563748 2090345622 3135518433 4180691244 5922645929 6271036866 11845291858 12542073732 17767937787 23690583716 35535875574 53303813361 71071751148 106607626722 213215253444