Search a number
-
+
224113434012 = 223313159624953
BaseRepresentation
bin1101000010111000110…
…0111001110110011100
3210102110211222001102000
43100232030321312130
512132441014342022
6250542320402300
722122511520616
oct3205614716634
9712424861360
10224113434012
1187056211066
1237527176390
1318197c83920
14abc0807db6
155c6a3c06ac
hex342e339d9c

224113434012 has 48 divisors (see below), whose sum is σ = 625729819680. Its totient is φ = 68957979264.

The previous prime is 224113434011. The next prime is 224113434019. The reversal of 224113434012 is 210434311422.

224113434012 is a `hidden beast` number, since 2 + 241 + 13 + 4 + 3 + 401 + 2 = 666.

It is a super-2 number, since 2×2241134340122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224113434011) 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, 79811073 + ... + 79813880.

It is an arithmetic number, because the mean of its divisors is an integer number (13036037910).

Almost surely, 2224113434012 is an apocalyptic number.

It is an amenable number.

224113434012 is an abundant number, since it is smaller than the sum of its proper divisors (401616385668).

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

224113434012 is a wasteful number, since it uses less digits than its factorization.

224113434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159624979 (or 159624971 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224113434012 its reverse (210434311422), we get a palindrome (434547745434).

The spelling of 224113434012 in words is "two hundred twenty-four billion, one hundred thirteen million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 159624953 319249906 478874859 638499812 957749718 1436624577 1915499436 2075124389 2873249154 4150248778 4309873731 5746498308 6225373167 8300497556 8619747462 12450746334 17239494924 18676119501 24901492668 37352239002 56028358503 74704478004 112056717006 224113434012