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226009914025 = 5272174472
BaseRepresentation
bin1101001001111100111…
…1011001101010101001
3210121101000112012220111
43102133033121222221
512200332014222100
6251454424454321
722220510400100
oct3223717315251
9717330465814
10226009914025
1187939782615
123797631a3a1
131840ab5424c
14ad20637037
155d2bb356ba
hex349f3d9aa9

226009914025 has 135 divisors (see below), whose sum is σ = 353909668179. Its totient is φ = 142758416640.

The previous prime is 226009913999. The next prime is 226009914043. The reversal of 226009914025 is 520419900622.

The square root of 226009914025 is 475405.

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

It can be written as a sum of positive squares in 7 ways, for example, as 24627966489 + 201381947536 = 156933^2 + 448756^2 .

It is not a de Polignac number, because 226009914025 - 211 = 226009911977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4808721552 + ... + 4808721598.

Almost surely, 2226009914025 is an apocalyptic number.

226009914025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226009914025 is the 475405-th square number.

226009914025 is the 237703-rd centered octagonal number.

It is an amenable number.

226009914025 is a deficient number, since it is larger than the sum of its proper divisors (127899754154).

226009914025 is an frugal number, since it uses more digits than its factorization.

226009914025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 226009914025 in words is "two hundred twenty-six billion, nine million, nine hundred fourteen thousand, twenty-five".

Divisors: 1 5 7 17 25 35 47 49 85 119 175 235 245 289 329 425 595 799 833 1175 1225 1445 1645 2023 2209 2303 2975 3995 4165 4913 5593 7225 8225 10115 11045 11515 13583 14161 15463 19975 20825 24565 27965 34391 37553 39151 50575 55225 57575 67915 70805 77315 83521 95081 108241 122825 139825 171955 187765 195755 230911 240737 262871 339575 354025 386575 417605 475405 541205 584647 638401 665567 859775 938825 978775 1154555 1203685 1314355 1616377 1840097 2088025 2377025 2706025 2923235 3192005 3327835 3925487 4092529 4468807 5772775 6018425 6571775 8081885 9200485 10852817 11314639 14616175 15960025 16639175 19627435 20462645 22344035 27478409 31281649 40409425 46002425 54264085 56573195 75969719 98137175 102313225 111720175 137392045 156408245 184497889 192348863 271320425 282865975 379848595 531788033 686960225 782041225 922489445 961744315 1291485223 1899242975 2658940165 4612447225 4808721575 6457426115 9040396561 13294700825 32287130575 45201982805 226009914025