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225672315705 = 3357364735393
BaseRepresentation
bin1101001000101100011…
…1100100001100111001
3210120111111021110002000
43102023013210030321
512144134103100310
6251401124531213
722206241014324
oct3221307441471
9716444243060
10225672315705
1187786158a41
12378a1250b09
1318385c20b25
14accb8777bb
155d0c19b4c0
hex348b1e4339

225672315705 has 64 divisors (see below), whose sum is σ = 407331141120. Its totient is φ = 118522994688.

The previous prime is 225672315691. The next prime is 225672315721. The reversal of 225672315705 is 507513276522.

225672315705 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 72 + 3 + 1 + 570 + 5 = 666.

It is not a de Polignac number, because 225672315705 - 213 = 225672307513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6358489 + ... + 6393881.

It is an arithmetic number, because the mean of its divisors is an integer number (6364549080).

Almost surely, 2225672315705 is an apocalyptic number.

It is an amenable number.

225672315705 is a deficient number, since it is larger than the sum of its proper divisors (181658825415).

225672315705 is a wasteful number, since it uses less digits than its factorization.

225672315705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36127 (or 36121 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 225672315705 in words is "two hundred twenty-five billion, six hundred seventy-two million, three hundred fifteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 647 657 1095 1941 1971 3235 3285 5823 9705 9855 17469 29115 35393 47231 87345 106179 141693 176965 236155 318537 425079 530895 708465 955611 1275237 1592685 2125395 2583689 4778055 6376185 7751067 12918445 22899271 23253201 38755335 68697813 69759603 114496355 116266005 206093439 343489065 348798015 618280317 1030467195 1671646783 3091401585 5014940349 8358233915 15044821047 25074701745 45134463141 75224105235 225672315705