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234778464820 = 2252341107116341
BaseRepresentation
bin1101101010100111100…
…0110001001000110100
3211110000010002202022001
43122221320301020310
512321311241333240
6255504501145044
722651013011114
oct3325170611064
9743003082261
10234778464820
1190629360609
12396029bb184
13191a7688743
14b513001044
15619184489a
hex36a9e31234

234778464820 has 96 divisors (see below), whose sum is σ = 531949130496. Its totient is φ = 86817561600.

The previous prime is 234778464787. The next prime is 234778464821. The reversal of 234778464820 is 28464877432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234778464821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959850 + ... + 2076190.

It is an arithmetic number, because the mean of its divisors is an integer number (5541136776).

Almost surely, 2234778464820 is an apocalyptic number.

234778464820 is a gapful number since it is divisible by the number (20) 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 234778464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265974565248).

234778464820 is an abundant number, since it is smaller than the sum of its proper divisors (297170665676).

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

234778464820 is a wasteful number, since it uses less digits than its factorization.

234778464820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116521 (or 116519 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 55.

The spelling of 234778464820 in words is "two hundred thirty-four billion, seven hundred seventy-eight million, four hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 107 115 164 205 214 230 410 428 460 535 820 943 1070 1886 2140 2461 3772 4387 4715 4922 8774 9430 9844 12305 17548 18860 21935 24610 43870 49220 87740 100901 116341 201802 232682 403604 465364 504505 581705 1009010 1163410 2018020 2326820 2675843 4769981 5351686 9539962 10703372 12448487 13379215 19079924 23849905 24896974 26758430 47699810 49793948 53516860 62242435 95399620 109709563 124484870 219419126 248969740 286315201 438838252 510387967 548547815 572630402 1020775934 1097095630 1145260804 1431576005 2041551868 2194191260 2551939835 2863152010 5103879670 5726304020 10207759340 11738923241 23477846482 46955692964 58694616205 117389232410 234778464820