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2230024125140 = 2257317112944507
BaseRepresentation
bin100000011100110111110…
…010111011101011010100
321220012002012211010022022
4200130313302323223110
5243014042134001030
64424243044152312
7320054035210430
oct40346762735324
97805065733268
102230024125140
1178a825533649
1230023a698698
131323a0c44566
1479d102999c0
153d01c243de5
hex20737cbbad4

2230024125140 has 96 divisors (see below), whose sum is σ = 5373817585920. Its totient is φ = 761475585024.

The previous prime is 2230024125127. The next prime is 2230024125209. The reversal of 2230024125140 is 415214200322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50082767 + ... + 50127273.

It is an arithmetic number, because the mean of its divisors is an integer number (55977266520).

Almost surely, 22230024125140 is an apocalyptic number.

2230024125140 is a gapful number since it is divisible by the number (20) 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 2230024125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686908792960).

2230024125140 is an abundant number, since it is smaller than the sum of its proper divisors (3143793460780).

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

2230024125140 is a wasteful number, since it uses less digits than its factorization.

2230024125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45969 (or 45967 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 2230024125140 its reverse (415214200322), we get a palindrome (2645238325462).

The spelling of 2230024125140 in words is "two trillion, two hundred thirty billion, twenty-four million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1129 1268 1585 2219 2258 3170 4438 4516 5645 6340 7903 8876 11095 11290 15806 22190 22580 31612 39515 44380 44507 79030 89014 158060 178028 222535 311549 357893 445070 623098 715786 890140 1246196 1431572 1557745 1789465 2505251 3115490 3578930 5010502 6230980 7157860 10021004 12526255 14108719 25052510 28217438 50105020 50248403 56434876 70543595 98761033 100496806 141087190 197522066 200993612 251242015 282174380 351738821 395044132 493805165 502484030 703477642 987610330 1004968060 1406955284 1758694105 1975220660 3517388210 7034776420 15928743751 31857487502 63714975004 79643718755 111501206257 159287437510 223002412514 318574875020 446004825028 557506031285 1115012062570 2230024125140