Search a number
-
+
2032133220 = 22325131945707
BaseRepresentation
bin111100100011111…
…1110010001100100
312020121211001201100
41321013332101210
513130211230340
6533351400100
7101233563435
oct17107762144
95217731640
102032133220
119530a4847
12488683030
132650182c0
14153c6148c
15bd60d830
hex791fe464

2032133220 has 144 divisors (see below), whose sum is σ = 6987839040. Its totient is φ = 473879808.

The previous prime is 2032133189. The next prime is 2032133281. The reversal of 2032133220 is 223312302.

It is a happy number.

2032133220 is a `hidden beast` number, since 20 + 321 + 3 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032133193 and 2032133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21607 + ... + 67313.

It is an arithmetic number, because the mean of its divisors is an integer number (48526660).

Almost surely, 22032133220 is an apocalyptic number.

2032133220 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 2032133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493919520).

2032133220 is an abundant number, since it is smaller than the sum of its proper divisors (4955705820).

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

2032133220 is a wasteful number, since it uses less digits than its factorization.

2032133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45754 (or 45749 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2032133220 is about 45079.1883245473. The cubic root of 2032133220 is about 1266.6327856435.

Adding to 2032133220 its reverse (223312302), we get a palindrome (2255445522).

The spelling of 2032133220 in words is "two billion, thirty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 45707 91414 137121 182828 228535 274242 411363 457070 548484 594191 685605 822726 868433 914140 1188382 1371210 1645452 1736866 1782573 2056815 2376764 2605299 2742420 2970955 3473732 3565146 4113630 4342165 5210598 5347719 5941910 7130292 7815897 8227260 8684330 8912865 10421196 10695438 11289629 11883820 13026495 15631794 17368660 17825730 21390876 22579258 26052990 26738595 31263588 33868887 35651460 39079485 45158516 52105980 53477190 56448145 67737774 78158970 101606661 106954380 112896290 135475548 156317940 169344435 203213322 225792580 338688870 406426644 508033305 677377740 1016066610 2032133220