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211444024220 = 225111373931477
BaseRepresentation
bin1100010011101100001…
…0111100001110011100
3202012202220020100110022
43010323002330032130
511431014132233340
6241045215131312
721163531360052
oct3047302741634
9665686210408
10211444024220
1181744703a60
1234b90213b38
1316c29230540
14a33bd361d2
155777ec13b5
hex313b0bc39c

211444024220 has 48 divisors (see below), whose sum is σ = 521660508768. Its totient is φ = 70974216960.

The previous prime is 211444024213. The next prime is 211444024229. The reversal of 211444024220 is 22420444112.

It is a happy number.

211444024220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 211444024220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211444024229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36962879 + ... + 36968598.

It is an arithmetic number, because the mean of its divisors is an integer number (10867927266).

Almost surely, 2211444024220 is an apocalyptic number.

211444024220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211444024220 is an abundant number, since it is smaller than the sum of its proper divisors (310216484548).

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

211444024220 is a wasteful number, since it uses less digits than its factorization.

211444024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73931510 (or 73931508 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 211444024220 its reverse (22420444112), we get a palindrome (233864468332).

The spelling of 211444024220 in words is "two hundred eleven billion, four hundred forty-four million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 73931477 147862954 295725908 369657385 739314770 813246247 961109201 1478629540 1626492494 1922218402 3252984988 3844436804 4066231235 4805546005 8132462470 9611092010 10572201211 16264924940 19222184020 21144402422 42288804844 52861006055 105722012110 211444024220