Search a number
-
+
212021113224 = 23341607354973
BaseRepresentation
bin1100010101110101110…
…0010111000110001000
3202021021010010111202010
43011131130113012020
511433204401110344
6241222352135520
721214036504224
oct3053534270610
9667233114663
10212021113224
1181a10433518
12351115375a0
1316cbb966a1b
14a394837784
1557ad9b58b9
hex315d717188

212021113224 has 64 divisors (see below), whose sum is σ = 543876963840. Its totient is φ = 68836170240.

The previous prime is 212021113223. The next prime is 212021113229. The reversal of 212021113224 is 422311120212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212021113224.

It is not an unprimeable number, because it can be changed into a prime (212021113223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419802 + ... + 774774.

It is an arithmetic number, because the mean of its divisors is an integer number (8498077560).

Almost surely, 2212021113224 is an apocalyptic number.

212021113224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271938481920).

212021113224 is an abundant number, since it is smaller than the sum of its proper divisors (331855850616).

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

212021113224 is a wasteful number, since it uses less digits than its factorization.

212021113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355630 (or 355626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212021113224 its reverse (422311120212), we get a palindrome (634332233436).

The spelling of 212021113224 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 607 984 1214 1821 2428 3642 4856 7284 14568 24887 49774 74661 99548 149322 199096 298644 354973 597288 709946 1064919 1419892 2129838 2839784 4259676 8519352 14553893 29107786 43661679 58215572 87323358 116431144 174646716 215468611 349293432 430937222 646405833 861874444 1292811666 1723748888 2585623332 5171246664 8834213051 17668426102 26502639153 35336852204 53005278306 70673704408 106010556612 212021113224