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2230141341320 = 235618910269577
BaseRepresentation
bin100000011100111110110…
…010000100111010001000
321220012101101101022200022
4200130332302010322020
5243014312140410240
64424302432400012
7320056660425524
oct40347662047210
97805341338608
102230141341320
1178a885713922
123002719a6008
131323bc305349
1479d21a8cd84
153d0276999b5
hex2073ec84e88

2230141341320 has 64 divisors (see below), whose sum is σ = 5157382071600. Its totient is φ = 867573780480.

The previous prime is 2230141341319. The next prime is 2230141341343. The reversal of 2230141341320 is 231431410322.

Adding to 2230141341320 its reverse (231431410322), we get a palindrome (2461572751642).

It can be written as a sum of positive squares in 8 ways, for example, as 590374016164 + 1639767325156 = 768358^2 + 1280534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2230141341320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917629 + ... + 5351948.

Almost surely, 22230141341320 is an apocalyptic number.

2230141341320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230141341320 is an abundant number, since it is smaller than the sum of its proper divisors (2927240730280).

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

2230141341320 is a wasteful number, since it uses less digits than its factorization.

2230141341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269738 (or 10269734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 2230141341320 in words is "two trillion, two hundred thirty billion, one hundred forty-one million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 89 122 178 244 305 356 445 488 610 712 890 1220 1780 2440 3560 5429 10858 21716 27145 43432 54290 108580 217160 10269577 20539154 41078308 51347885 82156616 102695770 205391540 410783080 626444197 913992353 1252888394 1827984706 2505776788 3132220985 3655969412 4569961765 5011553576 6264441970 7311938824 9139923530 12528883940 18279847060 25057767880 36559694120 55753533533 111507067066 223014134132 278767667665 446028268264 557535335330 1115070670660 2230141341320