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2232134211032 = 2311294722678209
BaseRepresentation
bin100000011110110101100…
…100010001010111011000
321220101112021022120222122
4200132311210101113120
5243032402324223112
64425232302440412
7320160236512355
oct40366544212730
97811467276878
102232134211032
11790708630390
12300729293108
131326491540ab
147a07060d62c
153d0e25ee872
hex207b59115d8

2232134211032 has 128 divisors (see below), whose sum is σ = 4826376576000. Its totient is φ = 958237378560.

The previous prime is 2232134211007. The next prime is 2232134211053. The reversal of 2232134211032 is 2301124312322.

It is a super-3 number, since 3×22321342110323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2232134210992 and 2232134211010.

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, 271908944 + ... + 271917152.

It is an arithmetic number, because the mean of its divisors is an integer number (37706067000).

Almost surely, 22232134211032 is an apocalyptic number.

2232134211032 is a gapful number since it is divisible by the number (22) 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 2232134211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413188288000).

2232134211032 is an abundant number, since it is smaller than the sum of its proper divisors (2594242364968).

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

2232134211032 is a wasteful number, since it uses less digits than its factorization.

2232134211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2232134211032 its reverse (2301124312322), we get a palindrome (4533258523354).

The spelling of 2232134211032 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-four million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 29 44 47 58 88 94 116 188 232 319 376 517 638 1034 1276 1363 2068 2267 2552 2726 4136 4534 5452 8209 9068 10904 14993 16418 18136 24937 29986 32836 49874 59972 65672 65743 90299 99748 106549 119944 131486 180598 199496 213098 238061 262972 361196 385823 426196 476122 525944 722392 723173 771646 852392 952244 1172039 1446346 1543292 1904488 2344078 2618671 2892692 3086584 3089921 4244053 4688156 5237342 5785384 6179842 8488106 9376312 10474684 11188867 12359684 16976212 18609803 20949368 22377734 24719368 33952424 33989131 37219606 44755468 67978262 74439212 89510936 123077537 135956524 148878424 204707833 246155074 271913048 409415666 492310148 539684287 818831332 874660741 984620296 1079368574 1637662664 1749321482 2158737148 3498642964 4317474296 5936527157 6997285928 9621268151 11873054314 19242536302 23746108628 25365161489 38485072604 47492217256 50730322978 76970145208 101460645956 202921291912 279016776379 558033552758 1116067105516 2232134211032