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225975996120004 = 22132292199372
BaseRepresentation
bin110011011000011000100010…
…111110011111101111000100
31002122010002112201002200001221
4303120120202332133233010
5214104342320001320004
62120335534532130124
765412140562260314
oct6330304276375704
91078102481080057
10225975996120004
116600397769a489
12214177b3a66944
1399125a2878300
143db3421b05444
151b1d24a8a2354
hexcd8622f9fbc4

225975996120004 has 81 divisors (see below), whose sum is σ = 443515381739157. Its totient is φ = 100695127723008.

The previous prime is 225975996120001. The next prime is 225975996120011. The reversal of 225975996120004 is 400021699579522.

The square root of 225975996120004 is 15032498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 224937064401604 + 1038931718400 = 14997902^2 + 1019280^2 .

It is not an unprimeable number, because it can be changed into a prime (225975996120001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11334493524 + ... + 11334513460.

Almost surely, 2225975996120004 is an apocalyptic number.

225975996120004 is the 15032498-th square number.

It is an amenable number.

225975996120004 is a deficient number, since it is larger than the sum of its proper divisors (217539385619153).

225975996120004 is an frugal number, since it uses more digits than its factorization.

225975996120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39962 (or 19981 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 225975996120004 in words is "two hundred twenty-five trillion, nine hundred seventy-five billion, nine hundred ninety-six million, one hundred twenty thousand, four".

Divisors: 1 2 4 13 26 29 52 58 116 169 338 377 676 754 841 1508 1682 3364 4901 9802 10933 19604 19937 21866 39874 43732 79748 142129 259181 284258 518362 568516 578173 1036724 1156346 2312692 3369353 6738706 7516249 13477412 15032498 16767017 30064996 33534034 67068068 97711237 195422474 217971221 390844948 397483969 435942442 794967938 871884884 1589935876 2833625873 5167291597 5667251746 10334583194 11334503492 11527035101 20669166388 23054070202 46108140404 67174790761 134349581522 149851456313 268699163044 299702912626 334284017929 599405825252 668568035858 1337136071716 1948068932069 3896137864138 4345692233077 7792275728276 8691384466154 17382768932308 56493999030001 112987998060002 225975996120004