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226115064 = 2334779631
BaseRepresentation
bin11010111101000…
…11110111111000
3120202110211120000
431132203313320
5430341140224
634234233000
75413642410
oct1536436770
9522424500
10226115064
111066aa65a
1263885760
1337acbbc6
142205d640
1514cb70c9
hexd7a3df8

226115064 has 160 divisors (see below), whose sum is σ = 734131200. Its totient is φ = 63685440.

The previous prime is 226115003. The next prime is 226115069. The reversal of 226115064 is 460511622.

It is a super-2 number, since 2×2261150642 = 102256044335448192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226115069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358029 + ... + 358659.

It is an arithmetic number, because the mean of its divisors is an integer number (4588320).

Almost surely, 2226115064 is an apocalyptic number.

226115064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226115064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367065600).

226115064 is an abundant number, since it is smaller than the sum of its proper divisors (508016136).

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

226115064 is a wasteful number, since it uses less digits than its factorization.

226115064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 226115064 is about 15037.1228631012. The cubic root of 226115064 is about 609.2232916544.

Adding to 226115064 its reverse (460511622), we get a palindrome (686626686).

The spelling of 226115064 in words is "two hundred twenty-six million, one hundred fifteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 81 84 108 126 158 162 168 189 216 237 252 316 324 378 474 504 553 567 631 632 648 711 756 948 1106 1134 1262 1422 1512 1659 1893 1896 2133 2212 2268 2524 2844 3318 3786 4266 4417 4424 4536 4977 5048 5679 5688 6399 6636 7572 8532 8834 9954 11358 12798 13251 13272 14931 15144 17037 17064 17668 19908 22716 25596 26502 29862 34074 35336 39753 39816 44793 45432 49849 51111 51192 53004 59724 68148 79506 89586 99698 102222 106008 119259 119448 136296 149547 159012 179172 199396 204444 238518 299094 318024 348943 357777 358344 398792 408888 448641 477036 598188 697886 715554 897282 954072 1046829 1196376 1345923 1395772 1431108 1794564 2093658 2691846 2791544 2862216 3140487 3589128 4037769 4187316 5383692 6280974 8075538 8374632 9421461 10767384 12561948 16151076 18842922 25123896 28264383 32302152 37685844 56528766 75371688 113057532 226115064