Search a number
-
+
2333200223120 = 245132425340577
BaseRepresentation
bin100001111100111101100…
…100100000101110010000
322021001101201211221220112
4201330331210200232100
5301211343224114440
64543505110100452
7330365606446004
oct41747544405620
98231351757815
102333200223120
1181a560777108
1231823404a728
1313c034774300
1480cdb082704
1540a5a209965
hex21f3d920b90

2333200223120 has 120 divisors (see below), whose sum is σ = 5875599122856. Its totient is φ = 861265526784.

The previous prime is 2333200223119. The next prime is 2333200223143. The reversal of 2333200223120 is 213220023332.

It can be written as a sum of positive squares in 12 ways, for example, as 1682022237184 + 651177985936 = 1296928^2 + 806956^2 .

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 23 ways as a sum of consecutive naturals, for example, 57480272 + ... + 57520848.

Almost surely, 22333200223120 is an apocalyptic number.

2333200223120 is a gapful number since it is divisible by the number (20) 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 2333200223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937799561428).

2333200223120 is an abundant number, since it is smaller than the sum of its proper divisors (3542398899736).

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

2333200223120 is a wasteful number, since it uses less digits than its factorization.

2333200223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44869 (or 44850 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2333200223120 its reverse (213220023332), we get a palindrome (2546420246452).

The spelling of 2333200223120 in words is "two trillion, three hundred thirty-three billion, two hundred million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 4253 6760 8506 13520 17012 21265 34024 40577 42530 55289 68048 81154 85060 110578 162308 170120 202885 221156 276445 324616 340240 405770 442312 527501 552890 649232 718757 811540 884624 1055002 1105780 1437514 1623080 2110004 2211560 2637505 2875028 3246160 3593785 4220008 4423120 5275010 5750056 6857513 7187570 8440016 10550020 11500112 13715026 14375140 21100040 27430052 28750280 34287565 42200080 54860104 57500560 68575130 109720208 137150260 172573981 274300520 345147962 548601040 690295924 862869905 1380591848 1725739810 2243461753 2761183696 3451479620 4486923506 6902959240 8973847012 11217308765 13805918480 17947694024 22434617530 29165002789 35895388048 44869235060 58330005578 89738470120 116660011156 145825013945 179476940240 233320022312 291650027890 466640044624 583300055780 1166600111560 2333200223120