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226535305310055 = 3357479612181761
BaseRepresentation
bin110011100000100001011100…
…011001101110111101100111
31002201002120012221000101222000
4303200201130121232331213
5214143023301124410210
62121444514345140343
765500431022040340
oct6340413431567547
91081076187011860
10226535305310055
11661aa0a10a2225
12214a808748a6b3
1399532592b0b81
143dd251db570c7
151b2ca8327dac0
hexce085c66ef67

226535305310055 has 128 divisors (see below), whose sum is σ = 461304082022400. Its totient is φ = 103324651315200.

The previous prime is 226535305310033. The next prime is 226535305310071. The reversal of 226535305310055 is 550013503535622.

226535305310055 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 3 + 530 + 5 + 3 + 100 + 5 + 5 = 666.

It is not a de Polignac number, because 226535305310055 - 222 = 226535301115751 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2770660375 + ... + 2770742135.

It is an arithmetic number, because the mean of its divisors is an integer number (3603938140800).

Almost surely, 2226535305310055 is an apocalyptic number.

226535305310055 is an abundant number, since it is smaller than the sum of its proper divisors (234768776712345).

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

226535305310055 is a wasteful number, since it uses less digits than its factorization.

226535305310055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88382 (or 88376 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

Adding to 226535305310055 its reverse (550013503535622), we get a palindrome (776548808845677).

The spelling of 226535305310055 in words is "two hundred twenty-six trillion, five hundred thirty-five billion, three hundred five million, three hundred ten thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 479 945 1437 2395 3353 4311 6121 7185 10059 12933 16765 18363 21555 30177 30605 42847 50295 55089 64665 81761 90531 91815 128541 150885 165267 214235 245283 275445 385623 408805 452655 572327 642705 735849 826335 1156869 1226415 1716981 1928115 2207547 2861635 2931959 3679245 5150943 5784345 8584905 8795877 11037735 14659795 15452829 20523713 25754715 26387631 39163519 43979385 61571139 77264145 79162893 102618565 117490557 131938155 184713417 195817595 274144633 307855695 352471671 395814465 500459081 554140251 587452785 822433899 923567085 1057415013 1370723165 1501377243 1762358355 2467301697 2502295405 2770701255 3503213567 4112169495 4504131729 5287075065 7401905091 7506886215 10509640701 12336508485 13512395187 17516067835 22520658645 31528922103 37009525455 52548203505 67561975935 94586766309 157644610515 239719899799 472933831545 719159699397 1198599498995 1678039298593 2157479098191 3595798496985 5034117895779 6472437294573 8390196492965 10787395490955 15102353687337 25170589478895 32362186472865 45307061062011 75511768436685 226535305310055