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234223000322432 = 27112120079125941
BaseRepresentation
bin110101010000011001001010…
…101110111000000110000000
31010201022111111121110122100212
4311100121022232320012000
5221200002201040304212
62150052321053333252
7100223024203335602
oct6520311256700600
91121274447418325
10234223000322432
11686a3464556900
1222329ba0a97228
13a090198988864
1441ba64cd65172
151c12a2761ce22
hexd5064abb8180

234223000322432 has 96 divisors (see below), whose sum is σ = 512900457434400. Its totient is φ = 106463268172800.

The previous prime is 234223000322419. The next prime is 234223000322447.

234223000322432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 1859720582 + ... + 1859846522.

It is an arithmetic number, because the mean of its divisors is an integer number (5342713098275).

Almost surely, 2234223000322432 is an apocalyptic number.

234223000322432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234223000322432 is an abundant number, since it is smaller than the sum of its proper divisors (278677457111968).

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

234223000322432 is a wasteful number, since it uses less digits than its factorization.

234223000322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246056 (or 246033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 234223000 and 322432, that added together give a palindrome (234545432).

The spelling of 234223000322432 in words is "two hundred thirty-four trillion, two hundred twenty-three billion, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 120079 125941 240158 251882 480316 503764 960632 1007528 1320869 1385351 1921264 2015056 2641738 2770702 3842528 4030112 5283476 5541404 7685056 8060224 10566952 11082808 14529559 15238861 15370112 16120448 21133904 22165616 29059118 30477722 42267808 44331232 58118236 60955444 84535616 88662464 116236472 121910888 169071232 177324928 232472944 243821776 464945888 487643552 929891776 975287104 1859783552 1950574208 15122869339 30245738678 60491477356 120982954712 166351562729 241965909424 332703125458 483931818848 665406250916 967863637696 1330812501832 1829867190019 1935727275392 2661625003664 3659734380038 5323250007328 7319468760076 10646500014656 14638937520152 21293000029312 29277875040304 58555750080608 117111500161216 234223000322432