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2230213204140 = 2235103367398251
BaseRepresentation
bin100000011101000011000…
…100001101100010101100
321220012120101121022221020
4200131003010031202230
5243014434040013030
64424313520534140
7320061522311235
oct40350304154254
97805511538836
102230213204140
1178a912237489
12300291a81350
13132401176a1c
1479d2b43808c
153d02db42510
hex2074310d8ac

2230213204140 has 96 divisors (see below), whose sum is σ = 6307004960256. Its totient is φ = 588783168000.

The previous prime is 2230213204069. The next prime is 2230213204151. The reversal of 2230213204140 is 414023120322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2230213204140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22650015 + ... + 22748265.

It is an arithmetic number, because the mean of its divisors is an integer number (65697968336).

Almost surely, 22230213204140 is an apocalyptic number.

2230213204140 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 2230213204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153502480128).

2230213204140 is an abundant number, since it is smaller than the sum of its proper divisors (4076791756116).

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

2230213204140 is a wasteful number, since it uses less digits than its factorization.

2230213204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102039 (or 102037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2230213204140 its reverse (414023120322), we get a palindrome (2644236324462).

The spelling of 2230213204140 in words is "two trillion, two hundred thirty billion, two hundred thirteen million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 3673 6180 7346 11019 14692 18365 22038 36730 44076 55095 73460 98251 110190 196502 220380 294753 378319 393004 491255 589506 756638 982510 1134957 1179012 1473765 1513276 1891595 1965020 2269914 2947530 3783190 4539828 5674785 5895060 7566380 10119853 11349570 20239706 22699140 30359559 40479412 50599265 60719118 101198530 121438236 151797795 202397060 303595590 360875923 607191180 721751846 1082627769 1443503692 1804379615 2165255538 3608759230 4330511076 5413138845 7217518460 10826277690 21652555380 37170220069 74340440138 111510660207 148680880276 185851100345 223021320414 371702200690 446042640828 557553301035 743404401380 1115106602070 2230213204140