Search a number
-
+
224221112120 = 23547119266549
BaseRepresentation
bin1101000011010010011…
…1101010011100111000
3210102202100120200000002
43100310213222130320
512133201101041440
6251001124332132
722125260002145
oct3206447523470
9712670520002
10224221112120
1187100a77235
1237557244048
13181b4385195
14abd0c373cc
155c74a90115
hex34349ea738

224221112120 has 32 divisors (see below), whose sum is σ = 515231496000. Its totient is φ = 87780179328.

The previous prime is 224221112119. The next prime is 224221112149. The reversal of 224221112120 is 21211122422.

It is a happy number.

224221112120 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 2×2242211121202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224221112092 and 224221112101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 59631395 + ... + 59635154.

It is an arithmetic number, because the mean of its divisors is an integer number (16100984250).

Almost surely, 2224221112120 is an apocalyptic number.

224221112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224221112120 is an abundant number, since it is smaller than the sum of its proper divisors (291010383880).

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

224221112120 is a wasteful number, since it uses less digits than its factorization.

224221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119266607 (or 119266603 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 224221112120 its reverse (21211122422), we get a palindrome (245432234542).

The spelling of 224221112120 in words is "two hundred twenty-four billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 119266549 238533098 477066196 596332745 954132392 1192665490 2385330980 4770661960 5605527803 11211055606 22422111212 28027639015 44844222424 56055278030 112110556060 224221112120