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114223440 = 24351937677
BaseRepresentation
bin1101100111011…
…10100101010000
321221221011002210
412303232211100
5213220122230
615200112120
72554611642
oct663564520
9257834083
10114223440
1159526841
1232305640
131a883846
1411254892
15a063eb0
hex6cee950

114223440 has 160 divisors (see below), whose sum is σ = 383368320. Its totient is φ = 28035072.

The previous prime is 114223397. The next prime is 114223441. The reversal of 114223440 is 44322411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168382 + ... + 169058.

It is an arithmetic number, because the mean of its divisors is an integer number (2396052).

Almost surely, 2114223440 is an apocalyptic number.

114223440 is a gapful number since it is divisible by the number (10) 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 114223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191684160).

114223440 is an abundant number, since it is smaller than the sum of its proper divisors (269144880).

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

114223440 is a wasteful number, since it uses less digits than its factorization.

114223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

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

The square root of 114223440 is about 10687.5366666038. The cubic root of 114223440 is about 485.1973406027.

Adding to 114223440 its reverse (44322411), we get a palindrome (158545851).

The spelling of 114223440 in words is "one hundred fourteen million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 148 152 185 190 222 228 240 285 296 304 370 380 444 456 555 570 592 677 703 740 760 888 912 1110 1140 1354 1406 1480 1520 1776 2031 2109 2220 2280 2708 2812 2960 3385 3515 4062 4218 4440 4560 5416 5624 6770 7030 8124 8436 8880 10155 10545 10832 11248 12863 13540 14060 16248 16872 20310 21090 25049 25726 27080 28120 32496 33744 38589 40620 42180 50098 51452 54160 56240 64315 75147 77178 81240 84360 100196 102904 125245 128630 150294 154356 162480 168720 192945 200392 205808 250490 257260 300588 308712 375735 385890 400784 475931 500980 514520 601176 617424 751470 771780 951862 1001960 1029040 1202352 1427793 1502940 1543560 1903724 2003920 2379655 2855586 3005880 3087120 3807448 4759310 5711172 6011760 7138965 7614896 9518620 11422344 14277930 19037240 22844688 28555860 38074480 57111720 114223440