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2134233210 = 2351721991237
BaseRepresentation
bin111111100110101…
…1101000001111010
312111201221021120110
41333031131001322
513332330430320
6551440005150
7103613453154
oct17715350172
95451837513
102134233210
119a579aaaa
124b69007b6
132802158b5
1416363bad4
15c757a5e0
hex7f35d07a

2134233210 has 96 divisors (see below), whose sum is σ = 5472950400. Its totient is φ = 532528128.

The previous prime is 2134233191. The next prime is 2134233239. The reversal of 2134233210 is 123324312.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 1724712 + ... + 1725948.

It is an arithmetic number, because the mean of its divisors is an integer number (57009900).

Almost surely, 22134233210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736475200).

2134233210 is an abundant number, since it is smaller than the sum of its proper divisors (3338717190).

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

2134233210 is a wasteful number, since it uses less digits than its factorization.

2134233210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2134233210 is about 46197.7619587789. The cubic root of 2134233210 is about 1287.5001584818.

Adding to 2134233210 its reverse (123324312), we get a palindrome (2257557522).

The spelling of 2134233210 in words is "two billion, one hundred thirty-four million, two hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 199 255 289 398 510 578 597 867 995 1194 1237 1445 1734 1990 2474 2890 2985 3383 3711 4335 5970 6185 6766 7422 8670 10149 12370 16915 18555 20298 21029 33830 37110 42058 50745 57511 63087 101490 105145 115022 126174 172533 210290 246163 287555 315435 345066 357493 492326 575110 630870 714986 738489 862665 1072479 1230815 1476978 1725330 1787465 2144958 2461630 3574930 3692445 4184771 5362395 7384890 8369542 10724790 12554313 20923855 25108626 41847710 62771565 71141107 125543130 142282214 213423321 355705535 426846642 711411070 1067116605 2134233210