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2260131031224 = 2333111621586819
BaseRepresentation
bin100000111000111010010…
…011101010100010111000
322000001210102021102021000
4200320322103222202320
5244012222020444344
64450142335445000
7322201103534013
oct40707223524270
98001712242230
102260131031224
117a1575055810
12306041386760
1313518b4ca6a1
147b5689b237a
153dbd0438a69
hex20e3a4ea8b8

2260131031224 has 128 divisors (see below), whose sum is σ = 6853118688000. Its totient is φ = 684464515200.

The previous prime is 2260131031201. The next prime is 2260131031237. The reversal of 2260131031224 is 4221301310622.

2260131031224 is a `hidden beast` number, since 2 + 2 + 601 + 3 + 1 + 0 + 31 + 2 + 24 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 3558087 + ... + 4144905.

It is an arithmetic number, because the mean of its divisors is an integer number (53539989750).

Almost surely, 22260131031224 is an apocalyptic number.

2260131031224 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 2260131031224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426559344000).

2260131031224 is an abundant number, since it is smaller than the sum of its proper divisors (4592987656776).

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

2260131031224 is a wasteful number, since it uses less digits than its factorization.

2260131031224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588466 (or 588456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2260131031224 its reverse (4221301310622), we get a palindrome (6481432341846).

The spelling of 2260131031224 in words is "two trillion, two hundred sixty billion, one hundred thirty-one million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1621 2376 3242 4863 6484 9726 12968 14589 17831 19452 29178 35662 38904 43767 53493 58356 71324 87534 106986 116712 142648 160479 175068 213972 320958 350136 427944 481437 586819 641916 962874 1173638 1283832 1760457 1925748 2347276 3520914 3851496 4694552 5281371 6455009 7041828 10562742 12910018 14083656 15844113 19365027 21125484 25820036 31688226 38730054 42250968 51640072 58095081 63376452 77460108 116190162 126752904 154920216 174285243 232380324 348570486 464760648 697140972 951233599 1394281944 1902467198 2853700797 3804934396 5707401594 7609868792 8561102391 10463569589 11414803188 17122204782 20927139178 22829606376 25683307173 31390708767 34244409564 41854278356 51366614346 62781417534 68488819128 83708556712 94172126301 102733228692 125562835068 188344252602 205466457384 251125670136 282516378903 376688505204 565032757806 753377010408 1130065515612 2260131031224