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2230232121312 = 253131933924493
BaseRepresentation
bin100000011101000100001…
…100010111111111100000
321220012121201012102102020
4200131010030113333200
5243020003410340222
64424315434221440
7320062142150316
oct40350414277740
97805551172366
102230232121312
1178a921988208
12300298284880
1313240506b310
1479d2db600b6
153d03062c65c
hex20744317fe0

2230232121312 has 96 divisors (see below), whose sum is σ = 6307963085088. Its totient is φ = 685869520896.

The previous prime is 2230232121301. The next prime is 2230232121331. The reversal of 2230232121312 is 2131212320322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1950138 + ... + 2874630.

It is an arithmetic number, because the mean of its divisors is an integer number (65707948803).

Almost surely, 22230232121312 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 2230232121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153981542544).

2230232121312 is an abundant number, since it is smaller than the sum of its proper divisors (4077730963776).

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

2230232121312 is a wasteful number, since it uses less digits than its factorization.

2230232121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926452 (or 926444 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2230232121312 its reverse (2131212320322), we get a palindrome (4361444441634).

The spelling of 2230232121312 in words is "two trillion, two hundred thirty billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1933 3866 5799 7732 11598 15464 23196 25129 30928 46392 50258 61856 75387 92784 100516 150774 185568 201032 301548 402064 603096 804128 924493 1206192 1848986 2412384 2773479 3697972 5546958 7395944 11093916 12018409 14791888 22187832 24036818 29583776 36055227 44375664 48073636 72110454 88751328 96147272 144220908 192294544 288441816 384589088 576883632 1153767264 1787044969 3574089938 5361134907 7148179876 10722269814 14296359752 21444539628 23231584597 28592719504 42889079256 46463169194 57185439008 69694753791 85778158512 92926338388 139389507582 171556317024 185852676776 278779015164 371705353552 557558030328 743410707104 1115116060656 2230232121312