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225152010312040 = 23572919091249861
BaseRepresentation
bin110011001100011001001001…
…100110000101100101101000
31002112012022200201102122012101
4303030121021212011211220
5214002342304114441130
62114505223340423144
765265460464414100
oct6314311146054550
91075168621378171
10225152010312040
11658164821361a9
1221303b74847ab4
139882988531276
143d855b5d9a200
151b06ac19741ca
hexccc649985968

225152010312040 has 96 divisors (see below), whose sum is σ = 589307808234600. Its totient is φ = 77194073295360.

The previous prime is 225152010312029. The next prime is 225152010312161. The reversal of 225152010312040 is 40213010251522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200505769920036 + 24646240392004 = 14160006^2 + 4964498^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179516710 + ... + 180766570.

Almost surely, 2225152010312040 is an apocalyptic number.

225152010312040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225152010312040 is an abundant number, since it is smaller than the sum of its proper divisors (364155797922560).

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

225152010312040 is a wasteful number, since it uses less digits than its factorization.

225152010312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341795 (or 1341784 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 225152010312040 its reverse (40213010251522), we get a palindrome (265365020563562).

The spelling of 225152010312040 in words is "two hundred twenty-five trillion, one hundred fifty-two billion, ten million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 91909 183818 367636 459545 643363 735272 919090 1249861 1286726 1838180 2499722 2573452 3216815 3676360 4503541 4999444 5146904 6249305 6433630 8749027 9007082 9998888 12498610 12867260 17498054 18014164 22517705 24997220 25734520 34996108 36028328 43745135 45035410 49994440 61243189 69992216 87490270 90070820 122486378 174980540 180141640 244972756 306215945 349961080 489945512 612431890 1224863780 2449727560 114873474649 229746949298 459493898596 574367373245 804114322543 918987797192 1148734746490 1608228645086 2297469492980 3216457290172 4020571612715 4594938985960 5628800257801 6432914580344 8041143225430 11257600515602 16082286450860 22515201031204 28144001289005 32164572901720 45030402062408 56288002578010 112576005156020 225152010312040