Search a number
-
+
2289029120 = 2125722281
BaseRepresentation
bin1000100001101111…
…1101000000000000
312220112012201122022
42020123331000000
514141442412440
61015045501012
7110503266200
oct21033750000
95815181568
102289029120
11a75108504
1253a711768
132a6303701
1417a014400
15d5e55cb5
hex886fd000

2289029120 has 156 divisors (see below), whose sum is σ = 6392616804. Its totient is φ = 784465920.

The previous prime is 2289029117. The next prime is 2289029129. The reversal of 2289029120 is 219209822.

It can be written as a sum of positive squares in 2 ways, for example, as 1099055104 + 1189974016 = 33152^2 + 34496^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289029129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002380 + ... + 1004660.

Almost surely, 22289029120 is an apocalyptic number.

2289029120 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 2289029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196308402).

2289029120 is an abundant number, since it is smaller than the sum of its proper divisors (4103587684).

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

2289029120 is an equidigital number, since it uses as much as digits as its factorization.

2289029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 2289029120 is about 47843.7991802491. The cubic root of 2289029120 is about 1317.9039891131.

The spelling of 2289029120 in words is "two billion, two hundred eighty-nine million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2281 2560 3136 3584 3920 4096 4480 4562 5120 6272 7168 7840 8960 9124 10240 11405 12544 14336 15680 15967 17920 18248 20480 22810 25088 28672 31360 31934 35840 36496 45620 50176 62720 63868 71680 72992 79835 91240 100352 111769 125440 127736 143360 145984 159670 182480 200704 223538 250880 255472 291968 319340 364960 447076 501760 510944 558845 583936 638680 729920 894152 1003520 1021888 1117690 1167872 1277360 1459840 1788304 2043776 2235380 2335744 2554720 2919680 3576608 4087552 4470760 4671488 5109440 5839360 7153216 8175104 8941520 9342976 10218880 11678720 14306432 16350208 17883040 20437760 23357440 28612864 32700416 35766080 40875520 46714880 57225728 65400832 71532160 81751040 114451456 143064320 163502080 228902912 286128640 327004160 457805824 572257280 1144514560 2289029120