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225714335261472 = 25326023511301119
BaseRepresentation
bin110011010100100100110110…
…110001100010001100100000
31002121012002011010000211020100
4303110210312301202030200
5214041100424311331342
62120015422323542400
765354215433544411
oct6324446661421440
91077162133024210
10225714335261472
1165a12a03992672
1221394b4a22aa00
1398c3a029a8535
143da48bc757808
151b16533ea8e4c
hexcd4936c62320

225714335261472 has 72 divisors (see below), whose sum is σ = 641876699842560. Its totient is φ = 75237929020800.

The previous prime is 225714335261413. The next prime is 225714335261491. The reversal of 225714335261472 is 274162533417522.

225714335261472 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 4 + 33 + 526 + 14 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2257143352614723 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172826529 + ... + 174127647.

It is an arithmetic number, because the mean of its divisors is an integer number (8914954164480).

Almost surely, 2225714335261472 is an apocalyptic number.

It is an amenable number.

225714335261472 is an abundant number, since it is smaller than the sum of its proper divisors (416162364581088).

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

225714335261472 is a wasteful number, since it uses less digits than its factorization.

225714335261472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903486 (or 1903475 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

Adding to 225714335261472 its reverse (274162533417522), we get a palindrome (499876868678994).

The spelling of 225714335261472 in words is "two hundred twenty-five trillion, seven hundred fourteen billion, three hundred thirty-five million, two hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 602351 1204702 1301119 1807053 2409404 2602238 3614106 3903357 4818808 5204476 5421159 7228212 7806714 9637616 10408952 10842318 11710071 14456424 15613428 19275232 20817904 21684636 23420142 28912848 31226856 41635808 43369272 46840284 57825696 62453712 86738544 93680568 124907424 173477088 187361136 374722272 783730330769 1567460661538 2351190992307 3134921323076 4702381984614 6269842646152 7053572976921 9404763969228 12539685292304 14107145953842 18809527938456 25079370584608 28214291907684 37619055876912 56428583815368 75238111753824 112857167630736 225714335261472