Search a number
-
+
226404672714 = 2321119103957923
BaseRepresentation
bin1101001011011011000…
…1010010010011001010
3210122101112100001000200
43102312301102103022
512202134044011324
6252001525513030
722233342652053
oct3226661222312
9718345301020
10226404672714
1188021598670
1237a66572776
131847187bc7c
14ad5ac3572a
155d51610ec9
hex34b6c524ca

226404672714 has 96 divisors (see below), whose sum is σ = 563855385600. Its totient is φ = 64932878880.

The previous prime is 226404672679. The next prime is 226404672731. The reversal of 226404672714 is 417276404622.

226404672714 is a `hidden beast` number, since 226 + 404 + 6 + 7 + 2 + 7 + 14 = 666.

It is a super-2 number, since 2×2264046727142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226404672714.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3879757 + ... + 3937679.

It is an arithmetic number, because the mean of its divisors is an integer number (5873493600).

Almost surely, 2226404672714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226404672714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281927692800).

226404672714 is an abundant number, since it is smaller than the sum of its proper divisors (337450712886).

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

226404672714 is a wasteful number, since it uses less digits than its factorization.

226404672714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59000 (or 58997 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 226404672714 in words is "two hundred twenty-six billion, four hundred four million, six hundred seventy-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1039 1254 1881 2078 3117 3762 6234 9351 11429 18702 19741 22858 34287 39482 57923 59223 68574 102861 115846 118446 173769 177669 205722 217151 347538 355338 434302 521307 637153 651453 1042614 1100537 1274306 1302906 1911459 1954359 2201074 3301611 3822918 3908718 5734377 6603222 9904833 11468754 12105907 19809666 24211814 36317721 60181997 72635442 108953163 120363994 180545991 217906326 361091982 541637973 662001967 1083275946 1143457943 1324003934 1986005901 2286915886 3430373829 3972011802 5958017703 6860747658 10291121487 11916035406 12578037373 20582242974 25156074746 37734112119 75468224238 113202336357 226404672714