Search a number
-
+
225250365265440 = 25351409893328427
BaseRepresentation
bin110011001101110100110000…
…000000011101011000100000
31002112112201120020121221202020
4303031310300000131120200
5214011000222001443230
62115022331140421440
765305542014625264
oct6315646000353040
91075481506557666
10225250365265440
1165854163a22459
122131b0436a7880
13988c031295348
143d8a26675c0a4
151b0942b562810
hexccdd3001d620

225250365265440 has 96 divisors (see below), whose sum is σ = 709543896344640. Its totient is φ = 60066319985664.

The previous prime is 225250365265439. The next prime is 225250365265487. The reversal of 225250365265440 is 44562563052522.

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

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, 66010507 + ... + 69338933.

It is an arithmetic number, because the mean of its divisors is an integer number (7391082253590).

Almost surely, 2225250365265440 is an apocalyptic number.

225250365265440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225250365265440 is an abundant number, since it is smaller than the sum of its proper divisors (484293531079200).

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

225250365265440 is a wasteful number, since it uses less digits than its factorization.

225250365265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469434 (or 3469426 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 51.

The spelling of 225250365265440 in words is "two hundred twenty-five trillion, two hundred fifty billion, three hundred sixty-five million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 140989 281978 422967 563956 704945 845934 1127912 1409890 1691868 2114835 2255824 2819780 3328427 3383736 4229670 4511648 5639560 6656854 6767472 8459340 9985281 11279120 13313708 13534944 16642135 16918680 19970562 22558240 26627416 33284270 33837360 39941124 49926405 53254832 66568540 67674720 79882248 99852810 106509664 133137080 159764496 199705620 266274160 319528992 399411240 532548320 798822480 1597644960 469271594303 938543188606 1407814782909 1877086377212 2346357971515 2815629565818 3754172754424 4692715943030 5631259131636 7039073914545 7508345508848 9385431886060 11262518263272 14078147829090 15016691017696 18770863772120 22525036526544 28156295658180 37541727544240 45050073053088 56312591316360 75083455088480 112625182632720 225250365265440