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226056436038 = 23417317393583
BaseRepresentation
bin1101001010001000000…
…0110111100101000110
3210121111021001210010000
43102202000313211012
512200430421423123
6251503205542130
722221614000556
oct3224200674506
9717437053100
10226056436038
1187962a68264
1237989a14946
1318417692574
14ad268a7166
155d30c74b43
hex34a2037946

226056436038 has 160 divisors (see below), whose sum is σ = 554534830080. Its totient is φ = 68519934720.

The previous prime is 226056436033. The next prime is 226056436057. The reversal of 226056436038 is 830634650622.

It is a happy number.

226056436038 is a `hidden beast` number, since 2 + 2 + 605 + 6 + 4 + 3 + 6 + 0 + 38 = 666.

It is a super-2 number, since 2×2260564360382 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226056435984 and 226056436002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226056436033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63089595 + ... + 63093177.

It is an arithmetic number, because the mean of its divisors is an integer number (3465842688).

Almost surely, 2226056436038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226056436038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277267415040).

226056436038 is an abundant number, since it is smaller than the sum of its proper divisors (328478394042).

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

226056436038 is a wasteful number, since it uses less digits than its factorization.

226056436038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 226056436038 in words is "two hundred twenty-six billion, fifty-six million, four hundred thirty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 459 527 558 739 837 918 1054 1377 1478 1581 1674 2217 2511 2754 3162 3583 4434 4743 5022 6651 7166 9486 10749 12563 13302 14229 19953 21498 22909 25126 28458 32247 37689 39906 42687 45818 59859 60911 64494 68727 75378 85374 96741 111073 113067 119718 121822 137454 182733 193482 206181 222146 226134 290223 333219 339201 365466 389453 412362 548199 580446 618543 666438 678402 778906 999657 1017603 1096398 1168359 1237086 1644597 1855629 1888241 1999314 2035206 2336718 2647837 2998971 3289194 3505077 3711258 3776482 4933791 5295674 5664723 5997942 7010154 7943511 8996913 9867582 10515231 11329446 15887022 16994169 17993826 21030462 23830533 31545693 33988338 45013229 47661066 50982507 63091386 71491599 82082947 90026458 101965014 135039687 142983198 152947521 164165894 214474797 246248841 270079374 305895042 405119061 428949594 492497682 738746523 810238122 1215357183 1395410099 1477493046 2216239569 2430714366 2790820198 3646071549 4186230297 4432479138 6648718707 7292143098 8372460594 12558690891 13297437414 25117381782 37676072673 75352145346 113028218019 226056436038