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243414220 = 22571919103
BaseRepresentation
bin11101000001000…
…11010011001100
3121222000201112111
432200203103030
5444303223340
640053113404
76013662310
oct1640432314
9558021474
10243414220
11115445785
1269628864
133b577baa
1424483b40
1516582aea
hexe8234cc

243414220 has 48 divisors (see below), whose sum is σ = 587317248. Its totient is φ = 83010240.

The previous prime is 243414203. The next prime is 243414251. The reversal of 243414220 is 22414342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 243414191 and 243414200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22189 + ... + 31291.

It is an arithmetic number, because the mean of its divisors is an integer number (12235776).

Almost surely, 2243414220 is an apocalyptic number.

243414220 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 243414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293658624).

243414220 is an abundant number, since it is smaller than the sum of its proper divisors (343903028).

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

243414220 is a wasteful number, since it uses less digits than its factorization.

243414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 243414220 is about 15601.7377237281. The cubic root of 243414220 is about 624.3795186084.

Adding to 243414220 its reverse (22414342), we get a palindrome (265828562).

It can be divided in two parts, 24341 and 4220, that added together give a 4-th power (28561 = 134).

The spelling of 243414220 in words is "two hundred forty-three million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 9103 13370 18206 26740 36412 45515 63721 91030 127442 182060 254884 318605 637210 1274420 1738673 3477346 6954692 8693365 12170711 17386730 24341422 34773460 48682844 60853555 121707110 243414220