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23422238208 = 29337012417
BaseRepresentation
bin10101110100000100…
…101111111000000000
32020110100001222112000
4111310010233320000
5340432043110313
614432055504000
71456265511525
oct256404577000
966410058460
1023422238208
119a2a274266
124658088000
1322936b8865
1411c2a0114c
15921417673
hex57412fe00

23422238208 has 160 divisors (see below), whose sum is σ = 69459081120. Its totient is φ = 7793049600.

The previous prime is 23422238179. The next prime is 23422238269. The reversal of 23422238208 is 80283222432.

23422238208 is a `hidden beast` number, since 2 + 3 + 422 + 23 + 8 + 208 = 666.

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

It is a congruent number.

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, 9689416 + ... + 9691832.

It is an arithmetic number, because the mean of its divisors is an integer number (434119257).

Almost surely, 223422238208 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 23422238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34729540560).

23422238208 is an abundant number, since it is smaller than the sum of its proper divisors (46036842912).

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

23422238208 is an equidigital number, since it uses as much as digits as its factorization.

23422238208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23422238208 in words is "twenty-three billion, four hundred twenty-two million, two hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 701 768 864 1152 1402 1536 1728 2103 2304 2417 2804 3456 4206 4608 4834 5608 6309 6912 7251 8412 9668 11216 12618 13824 14502 16824 18927 19336 21753 22432 25236 29004 33648 37854 38672 43506 44864 50472 58008 65259 67296 75708 77344 87012 89728 100944 116016 130518 134592 151416 154688 174024 179456 201888 232032 261036 269184 302832 309376 348048 358912 403776 464064 522072 538368 605664 618752 696096 807552 928128 1044144 1076736 1211328 1237504 1392192 1615104 1694317 1856256 2088288 2422656 2784384 3230208 3388634 3712512 4176576 4845312 5082951 5568768 6777268 8353152 9690624 10165902 11137536 13554536 15248853 16706304 20331804 27109072 30497706 33412608 40663608 45746559 54218144 60995412 81327216 91493118 108436288 121990824 162654432 182986236 216872576 243981648 325308864 365972472 433745152 487963296 650617728 731944944 867490304 975926592 1301235456 1463889888 1951853184 2602470912 2927779776 3903706368 5855559552 7807412736 11711119104 23422238208