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234233827540 = 225532816431223
BaseRepresentation
bin1101101000100101101…
…1001001000011010100
3211101121011021022101221
43122021123021003110
512314202324440130
6255334443500124
722631350453246
oct3321133110324
9741534238357
10234233827540
1190379986559
1239490527644
131911b8a516b
14b4a094a096
15615db1087a
hex36896c90d4

234233827540 has 96 divisors (see below), whose sum is σ = 504149619456. Its totient is φ = 91381355520.

The previous prime is 234233827523. The next prime is 234233827567. The reversal of 234233827540 is 45728332432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191523369 + ... + 191524591.

It is an arithmetic number, because the mean of its divisors is an integer number (5251558536).

Almost surely, 2234233827540 is an apocalyptic number.

234233827540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234233827540 is an abundant number, since it is smaller than the sum of its proper divisors (269915791916).

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

234233827540 is a wasteful number, since it uses less digits than its factorization.

234233827540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 234233827540 in words is "two hundred thirty-four billion, two hundred thirty-three million, eight hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 281 530 562 643 1060 1124 1223 1286 1405 2446 2572 2810 3215 4892 5620 6115 6430 12230 12860 14893 24460 29786 34079 59572 64819 68158 74465 129638 136316 148930 170395 180683 259276 297860 324095 340790 343663 361366 648190 681580 687326 722732 786389 903415 1296380 1374652 1572778 1718315 1806830 3145556 3436630 3613660 3931945 6873260 7863890 9576199 15727780 18214139 19152398 36428278 38304796 41678617 47880995 72856556 83357234 91070695 95761990 166714468 182141390 191523980 208393085 220975309 364282780 416786170 441950618 833572340 883901236 1104876545 2209753090 4419506180 11711691377 23423382754 46846765508 58558456885 117116913770 234233827540