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229739429952 = 2633502126479
BaseRepresentation
bin1101010111110110001…
…0011000000001000000
3210221222221021020222000
43111331202120001000
512231001243224302
6253312453144000
722412104635264
oct3257542300100
9727887236860
10229739429952
1189482a1208a
123863732b000
13188837106c6
14b195a9c0a4
155e9927c31c
hex357d898040

229739429952 has 112 divisors (see below), whose sum is σ = 675551404800. Its totient is φ = 76561666560.

The previous prime is 229739429939. The next prime is 229739429977. The reversal of 229739429952 is 259924937922.

229739429952 is a `hidden beast` number, since 2 + 2 + 97 + 39 + 429 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 229739429952.

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, 8663049 + ... + 8689527.

Almost surely, 2229739429952 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 229739429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337775702400).

229739429952 is an abundant number, since it is smaller than the sum of its proper divisors (445811974848).

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

229739429952 is a wasteful number, since it uses less digits than its factorization.

229739429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31521 (or 31505 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 229739429952 in words is "two hundred twenty-nine billion, seven hundred thirty-nine million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 5021 10042 15063 20084 26479 30126 40168 45189 52958 60252 79437 80336 90378 105916 120504 135567 158874 160672 180756 211832 238311 241008 271134 317748 321344 361512 423664 476622 482016 542268 635496 714933 723024 847328 953244 964032 1084536 1270992 1429866 1446048 1694656 1906488 2169072 2541984 2859732 2892096 3812976 4338144 5083968 5719464 7625952 8676288 11438928 15251904 22877856 45755712 132951059 265902118 398853177 531804236 797706354 1063608472 1196559531 1595412708 2127216944 2393119062 3190825416 3589678593 4254433888 4786238124 6381650832 7179357186 8508867776 9572476248 12763301664 14358714372 19144952496 25526603328 28717428744 38289904992 57434857488 76579809984 114869714976 229739429952