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224143100120 = 23582723472887
BaseRepresentation
bin1101000010111111111…
…0000100100011011000
3210102112220210020122202
43100233332010203120
512133021113200440
6250545300305332
722123321626002
oct3205776044330
9712486706582
10224143100120
1187070a33705
12375350a2248
13181a116c934
14abc472b372
155c6ccd0615
hex342ff848d8

224143100120 has 64 divisors (see below), whose sum is σ = 505321908480. Its totient is φ = 89479668096.

The previous prime is 224143100119. The next prime is 224143100123. The reversal of 224143100120 is 21001341422.

224143100120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 224143100092 and 224143100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224143100123) 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, 77637317 + ... + 77640203.

It is an arithmetic number, because the mean of its divisors is an integer number (7895654820).

Almost surely, 2224143100120 is an apocalyptic number.

224143100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224143100120 is an abundant number, since it is smaller than the sum of its proper divisors (281178808360).

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

224143100120 is a wasteful number, since it uses less digits than its factorization.

224143100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 224143100120 its reverse (21001341422), we get a palindrome (245144441542).

The spelling of 224143100120 in words is "two hundred twenty-four billion, one hundred forty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 827 1654 2347 2887 3308 4135 4694 5774 6616 8270 9388 11548 11735 14435 16540 18776 23096 23470 28870 33080 46940 57740 93880 115480 1940969 2387549 3881938 4775098 6775789 7763876 9550196 9704845 11937745 13551578 15527752 19100392 19409690 23875490 27103156 33878945 38819380 47750980 54206312 67757890 77638760 95501960 135515780 271031560 5603577503 11207155006 22414310012 28017887515 44828620024 56035775030 112071550060 224143100120