Search a number
-
+
224111550152 = 237291319911063
BaseRepresentation
bin1101000010111000010…
…1101101111011001000
3210102110201102100020102
43100232011231323020
512132440024101102
6250542212144532
722122456513410
oct3205605557310
9712421370212
10224111550152
1187055144756
1237526608148
1318197774309
14abc0477640
155c6a14c402
hex342e16dec8

224111550152 has 128 divisors (see below), whose sum is σ = 501567897600. Its totient is φ = 91848556800.

The previous prime is 224111550149. The next prime is 224111550191. The reversal of 224111550152 is 251055111422.

224111550152 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 2×2241115501522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 210828773 + ... + 210829835.

It is an arithmetic number, because the mean of its divisors is an integer number (3918499200).

Almost surely, 2224111550152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224111550152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250783948800).

224111550152 is an abundant number, since it is smaller than the sum of its proper divisors (277456347448).

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

224111550152 is a wasteful number, since it uses less digits than its factorization.

224111550152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

Adding to 224111550152 its reverse (251055111422), we get a palindrome (475166661574).

The spelling of 224111550152 in words is "two hundred twenty-four billion, one hundred eleven million, five hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 131 203 232 262 406 524 812 917 991 1048 1063 1624 1834 1982 2126 3668 3799 3964 4252 6937 7336 7441 7598 7928 8504 13874 14882 15196 26593 27748 28739 29764 30392 30827 53186 55496 57478 59528 61654 106372 114956 123308 129821 139253 201173 212744 215789 229912 246616 259642 278506 402346 431578 519284 557012 804692 863156 908747 974771 1038568 1053433 1114024 1609384 1726312 1817494 1949542 2106866 3634988 3764809 3899084 4038337 4213732 7269976 7374031 7529618 7798168 8076674 8427464 14748062 15059236 16153348 26353663 28268359 29496124 30118472 30549557 32306696 52707326 56536718 58992248 61099114 105414652 113073436 122198228 137999723 210829304 213846899 226146872 244396456 275999446 427693798 551998892 855387596 965998061 1103997784 1710775192 1931996122 3863992244 4001991967 7727984488 8003983934 16007967868 28013943769 32015935736 56027887538 112055775076 224111550152