Search a number
-
+
212044040 = 2351337103107
BaseRepresentation
bin11001010001110…
…00100100001000
3112202222221201222
430220320210020
5413240402130
633012501212
75153226125
oct1450704410
9482887658
10212044040
11a976990a
125b01a808
1334c13360
142023974c
1513937ce5
hexca38908

212044040 has 128 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 74732544.

The previous prime is 212044031. The next prime is 212044069. The reversal of 212044040 is 40440212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981667 + ... + 1981773.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2212044040 is an apocalyptic number.

212044040 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 212044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

212044040 is an abundant number, since it is smaller than the sum of its proper divisors (325744120).

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

212044040 is a wasteful number, since it uses less digits than its factorization.

212044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 212044040 is about 14561.7320398365. The cubic root of 212044040 is about 596.3144820218.

Adding to 212044040 its reverse (40440212), we get a palindrome (252484252).

The spelling of 212044040 in words is "two hundred twelve million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 103 104 107 130 148 185 206 214 260 296 370 412 428 481 515 520 535 740 824 856 962 1030 1070 1339 1391 1480 1924 2060 2140 2405 2678 2782 3811 3848 3959 4120 4280 4810 5356 5564 6695 6955 7622 7918 9620 10712 11021 11128 13390 13910 15244 15836 19055 19240 19795 22042 26780 27820 30488 31672 38110 39590 44084 49543 51467 53560 55105 55640 76220 79180 88168 99086 102934 110210 143273 152440 158360 198172 205868 220420 247715 257335 286546 396344 407777 411736 440840 495430 514670 573092 716365 815554 990860 1029340 1146184 1432730 1631108 1981720 2038885 2058680 2865460 3262216 4077770 5301101 5730920 8155540 10602202 16311080 21204404 26505505 42408808 53011010 106022020 212044040