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226997380288 = 2672931755117
BaseRepresentation
bin1101001101101000011…
…0010010010011000000
3210200220211121200222001
43103122012102103000
512204342312132123
6252140421353344
722254130616350
oct3233206222300
9720824550861
10226997380288
11882a6115638
1237bb0b68854
13185375c3503
14adb5840b60
155d8868d0ad
hex34da1924c0

226997380288 has 112 divisors (see below), whose sum is σ = 534238931520. Its totient is φ = 93631942656.

The previous prime is 226997380277. The next prime is 226997380297. The reversal of 226997380288 is 882083799622.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2269973802882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4090906 + ... + 4146022.

It is an arithmetic number, because the mean of its divisors is an integer number (4769990460).

Almost surely, 2226997380288 is an apocalyptic number.

226997380288 is a gapful number since it is divisible by the number (28) 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 226997380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267119465760).

226997380288 is an abundant number, since it is smaller than the sum of its proper divisors (307241551232).

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

226997380288 is a wasteful number, since it uses less digits than its factorization.

226997380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55482 (or 55472 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 226997380288 in words is "two hundred twenty-six billion, nine hundred ninety-seven million, three hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 317 406 448 464 634 812 928 1268 1624 1856 2219 2536 3248 4438 5072 6496 8876 9193 10144 12992 17752 18386 20288 35504 36772 55117 64351 71008 73544 110234 128702 142016 147088 220468 257404 294176 385819 440936 514808 588352 771638 881872 1029616 1543276 1598393 1763744 2059232 3086552 3196786 3527488 4118464 6173104 6393572 11188751 12346208 12787144 17472089 22377502 24692416 25574288 34944178 44755004 51148576 69888356 89510008 102297152 122304623 139776712 179020016 244609246 279553424 358040032 489218492 506690581 559106848 716080064 978436984 1013381162 1118213696 1956873968 2026762324 3546834067 3913747936 4053524648 7093668134 7827495872 8107049296 14187336268 16214098592 28374672536 32428197184 56749345072 113498690144 226997380288