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2112341440 = 265112920693
BaseRepresentation
bin111110111100111…
…1100010111000000
312110012202001201011
41331321330113000
513311224411230
6545334450304
7103226414566
oct17571742700
95405661634
102112341440
119943a8430
124ab503994
1327881c3a1
1416077da36
15c56a3e2a
hex7de7c5c0

2112341440 has 112 divisors (see below), whose sum is σ = 5676778080. Its totient is φ = 741601280.

The previous prime is 2112341401. The next prime is 2112341449. The reversal of 2112341440 is 441432112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112341449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91734 + ... + 112426.

Almost surely, 22112341440 is an apocalyptic number.

2112341440 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 2112341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838389040).

2112341440 is an abundant number, since it is smaller than the sum of its proper divisors (3564436640).

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

2112341440 is a wasteful number, since it uses less digits than its factorization.

2112341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20750 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2112341440 is about 45960.2158393539. The cubic root of 2112341440 is about 1283.0828684572.

Adding to 2112341440 its reverse (441432112), we get a palindrome (2553773552).

The spelling of 2112341440 in words is "two billion, one hundred twelve million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 3190 3520 4640 5104 6380 9280 10208 12760 20416 20693 25520 41386 51040 82772 102080 103465 165544 206930 227623 331088 413860 455246 600097 662176 827720 910492 1138115 1200194 1324352 1655440 1820984 2276230 2400388 3000485 3310880 3641968 4552460 4800776 6000970 6601067 6621760 7283936 9104920 9601552 12001940 13202134 14567872 18209840 19203104 24003880 26404268 33005335 36419680 38406208 48007760 52808536 66010670 72839360 96015520 105617072 132021340 192031040 211234144 264042680 422468288 528085360 1056170720 2112341440