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2123202254240 = 255113523322441
BaseRepresentation
bin11110111001011000101…
…101110101010110100000
321111222100121121211110102
4132321120231311112200
5234241304234113430
64303215144521532
7306252634246454
oct36713055652640
97458317554412
102123202254240
11749499358a11
122a35a81802a8
131252a8cc9322
1474a9920a664
153a369179345
hex1ee58b755a0

2123202254240 has 96 divisors (see below), whose sum is σ = 5061647855376. Its totient is φ = 841566781440.

The previous prime is 2123202254221. The next prime is 2123202254281. The reversal of 2123202254240 is 424522023212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 293881083664 + 1829321170576 = 542108^2 + 1352524^2 .

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, 94601420 + ... + 94623860.

Almost surely, 22123202254240 is an apocalyptic number.

2123202254240 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 2123202254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530823927688).

2123202254240 is an abundant number, since it is smaller than the sum of its proper divisors (2938445601136).

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

2123202254240 is a wasteful number, since it uses less digits than its factorization.

2123202254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27802 (or 27794 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 2123202254240 its reverse (424522023212), we get a palindrome (2547724277452).

The spelling of 2123202254240 in words is "two trillion, one hundred twenty-three billion, two hundred two million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 5233 9040 10466 18080 20932 22441 26165 41864 44882 52330 83728 89764 104660 112205 167456 179528 209320 224410 359056 418640 448820 591329 718112 837280 897640 1182658 1795280 2365316 2535833 2956645 3590560 4730632 5071666 5913290 9461264 10143332 11826580 12679165 18922528 20286664 23653160 25358330 40573328 47306320 50716660 81146656 94612640 101433320 117433753 202866640 234867506 405733280 469735012 587168765 939470024 1174337530 1878940048 2348675060 3757880096 4697350120 9394700240 13270014089 18789400480 26540028178 53080056356 66350070445 106160112712 132700140890 212320225424 265400281780 424640450848 530800563560 1061601127120 2123202254240