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2112223440 = 243531377673
BaseRepresentation
bin111110111100101…
…1111100011010000
312110012112001211210
41331321133203100
513311212122230
6545332140120
7103225413555
oct17571374320
95405461753
102112223440
11994327808
124ab467640
132787aa772
1416074ca2c
15c567deb0
hex7de5f8d0

2112223440 has 160 divisors (see below), whose sum is σ = 6942698496. Its totient is φ = 530288640.

The previous prime is 2112223411. The next prime is 2112223453. The reversal of 2112223440 is 443222112.

2112223440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21122234402 = 8922975720970867200, which contains 22 as substring.

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, 271444 + ... + 279116.

Almost surely, 22112223440 is an apocalyptic number.

2112223440 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 2112223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471349248).

2112223440 is an abundant number, since it is smaller than the sum of its proper divisors (4830475056).

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

2112223440 is a wasteful number, since it uses less digits than its factorization.

2112223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2112223440 is about 45958.9321024760. The cubic root of 2112223440 is about 1283.0589760765.

Adding to 2112223440 its reverse (443222112), we get a palindrome (2555445552).

The spelling of 2112223440 in words is "two billion, one hundred twelve million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 37 40 48 60 62 74 80 93 111 120 124 148 155 185 186 222 240 248 296 310 370 372 444 465 496 555 592 620 740 744 888 930 1110 1147 1240 1480 1488 1776 1860 2220 2294 2480 2960 3441 3720 4440 4588 5735 6882 7440 7673 8880 9176 11470 13764 15346 17205 18352 22940 23019 27528 30692 34410 38365 45880 46038 55056 61384 68820 76730 91760 92076 115095 122768 137640 153460 184152 230190 237863 275280 283901 306920 368304 460380 475726 567802 613840 713589 851703 920760 951452 1135604 1189315 1419505 1427178 1703406 1841520 1902904 2271208 2378630 2839010 2854356 3406812 3567945 3805808 4258515 4542416 4757260 5678020 5708712 6813624 7135890 8517030 8800931 9514520 11356040 11417424 13627248 14271780 17034060 17601862 19029040 22712080 26402793 28543560 34068120 35203724 44004655 52805586 57087120 68136240 70407448 88009310 105611172 132013965 140814896 176018620 211222344 264027930 352037240 422444688 528055860 704074480 1056111720 2112223440