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234890963160 = 233571716448947
BaseRepresentation
bin1101101011000010010…
…1111010100011011000
3211110021221210021000020
43122300211322203120
512322024041310120
6255524000310440
722653550146450
oct3326045724330
9743257707006
10234890963160
1190686909247
1239634612420
13191c4a86cc9
14b523d26d60
15619b667640
hex36b097a8d8

234890963160 has 128 divisors (see below), whose sum is σ = 852713464320. Its totient is φ = 50531162112.

The previous prime is 234890963117. The next prime is 234890963213. The reversal of 234890963160 is 61369098432.

234890963160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8210194 + ... + 8238753.

It is an arithmetic number, because the mean of its divisors is an integer number (6661823940).

Almost surely, 2234890963160 is an apocalyptic number.

234890963160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234890963160 is an abundant number, since it is smaller than the sum of its proper divisors (617822501160).

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

234890963160 is a wasteful number, since it uses less digits than its factorization.

234890963160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448985 (or 16448981 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 234890963160 in words is "two hundred thirty-four billion, eight hundred ninety million, nine hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 16448947 32897894 49346841 65795788 82244735 98693682 115142629 131591576 164489470 197387364 230285258 246734205 279632099 328978940 345427887 394774728 460570516 493468410 559264198 575713145 657957880 690855774 838896297 921141032 986936820 1118528396 1151426290 1381711548 1398160495 1677792594 1727139435 1957424693 1973873640 2237056792 2302852580 2763423096 2796320990 3355585188 3454278870 3914849386 4194481485 4605705160 5592641980 5872274079 6711170376 6908557740 7829698772 8388962970 9787123465 11185283960 11744548158 13817115480 15659397544 16777925940 19574246930 23489096316 29361370395 33555851880 39148493860 46978192632 58722740790 78296987720 117445481580 234890963160