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229674256496832 = 26371423120090361
BaseRepresentation
bin110100001110001100110100…
…011110001111100011000000
31010010012122101211110022220010
4310032030310132033203000
5220100440334130344312
62132250521414544520
766243263116640310
oct6416146436174300
91103178354408803
10229674256496832
11671aa33a219154
12219144ab968140
139b20260304704
1440a0416c65440
151b8454b5be93c
hexd0e33478f8c0

229674256496832 has 112 divisors (see below), whose sum is σ = 694979257183232. Its totient is φ = 65575100897280.

The previous prime is 229674256496803. The next prime is 229674256496833. The reversal of 229674256496832 is 238694652476922.

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

It is not an unprimeable number, because it can be changed into a prime (229674256496833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58132669 + ... + 61957692.

It is an arithmetic number, because the mean of its divisors is an integer number (6205171939136).

Almost surely, 2229674256496832 is an apocalyptic number.

It is an amenable number.

229674256496832 is an abundant number, since it is smaller than the sum of its proper divisors (465305000686400).

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

229674256496832 is a wasteful number, since it uses less digits than its factorization.

229674256496832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120091806 (or 120091796 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 75.

The spelling of 229674256496832 in words is "two hundred twenty-nine trillion, six hundred seventy-four billion, two hundred fifty-six million, four hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1423 2846 4269 5692 8538 9961 11384 17076 19922 22768 29883 34152 39844 45536 59766 68304 79688 91072 119532 136608 159376 239064 273216 318752 478128 637504 956256 1912512 120090361 240180722 360271083 480361444 720542166 840632527 960722888 1441084332 1681265054 1921445776 2521897581 2882168664 3362530108 3842891552 5043795162 5764337328 6725060216 7685783104 10087590324 11528674656 13450120432 20175180648 23057349312 26900240864 40350361296 53800481728 80700722592 161401445184 170888583703 341777167406 512665751109 683554334812 1025331502218 1196220085921 1367108669624 2050663004436 2392440171842 2734217339248 3588660257763 4101326008872 4784880343684 5468434678496 7177320515526 8202652017744 9569760687368 10936869356992 14354641031052 16405304035488 19139521374736 28709282062104 32810608070976 38279042749472 57418564124208 76558085498944 114837128248416 229674256496832