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226156640004 = 22343173930469
BaseRepresentation
bin1101001010011111111…
…1000111011100000100
3210121202020121200010000
43102213333013130010
512201132044440004
6251521145401300
722224241502451
oct3224777073404
9717666550100
10226156640004
1187a04588a59
12379b7499230
1318432377b59
14ad35d0c828
155d39969c39
hex34a7fc7704

226156640004 has 120 divisors (see below), whose sum is σ = 611135571200. Its totient is φ = 72852644160.

The previous prime is 226156639927. The next prime is 226156640009. The reversal of 226156640004 is 400046651622.

226156640004 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 6 + 640 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×2261566400042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226156640009) 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, 7407282 + ... + 7437750.

Almost surely, 2226156640004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226156640004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305567785600).

226156640004 is an abundant number, since it is smaller than the sum of its proper divisors (384978931196).

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

226156640004 is a wasteful number, since it uses less digits than its factorization.

226156640004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31255 (or 31244 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 226156640004 in words is "two hundred twenty-six billion, one hundred fifty-six million, six hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 739 837 1116 1478 1674 2217 2511 2956 3348 4434 5022 6651 8868 10044 13302 19953 22909 26604 30469 39906 45818 59859 60938 68727 79812 91407 91636 119718 121876 137454 182814 206181 239436 274221 274908 365628 412362 548442 618543 822663 824724 944539 1096884 1237086 1645326 1855629 1889078 2467989 2474172 2833617 3290652 3711258 3778156 4935978 5667234 7422516 8500851 9871956 11334468 17001702 22516591 25502553 34003404 45033182 51005106 67549773 76507659 90066364 102010212 135099546 153015318 202649319 270199092 306030636 405298638 607947957 698014321 810597276 1215895914 1396028642 1823843871 2094042963 2431791828 2792057284 3647687742 4188085926 6282128889 7295375484 8376171852 12564257778 18846386667 25128515556 37692773334 56539160001 75385546668 113078320002 226156640004