Search a number
-
+
212343800 = 235229311181
BaseRepresentation
bin11001010100000…
…01101111111000
3112210120011221012
430222001233320
5413330000200
633023133052
75155615064
oct1452015770
9483504835
10212343800
11a9954049
125b144188
1334cb9926
14202b6aa4
1513996a35
hexca81bf8

212343800 has 96 divisors (see below), whose sum is σ = 527644800. Its totient is φ = 79296000.

The previous prime is 212343793. The next prime is 212343823. The reversal of 212343800 is 8343212.

212343800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2123438003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179210 + ... + 180390.

It is an arithmetic number, because the mean of its divisors is an integer number (5496300).

Almost surely, 2212343800 is an apocalyptic number.

212343800 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 212343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263822400).

212343800 is an abundant number, since it is smaller than the sum of its proper divisors (315301000).

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

212343800 is a wasteful number, since it uses less digits than its factorization.

212343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 212343800 is about 14572.0211364107. The cubic root of 212343800 is about 596.5953467321.

The spelling of 212343800 in words is "two hundred twelve million, three hundred forty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1181 1240 1450 1550 1798 2362 2900 3100 3596 4495 4724 5800 5905 6200 7192 8990 9448 11810 17980 22475 23620 29525 34249 35960 36611 44950 47240 59050 68498 73222 89900 118100 136996 146444 171245 179800 183055 236200 273992 292888 342490 366110 684980 732220 856225 915275 1061719 1369960 1464440 1712450 1830550 2123438 3424900 3661100 4246876 5308595 6849800 7322200 8493752 10617190 21234380 26542975 42468760 53085950 106171900 212343800