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243222540 = 223511401919
BaseRepresentation
bin11100111111101…
…00100000001100
3121221122222121020
432133310200030
5444231110130
640045034140
76012233421
oct1637644014
9557588536
10243222540
11115324770
1269555950
133b50b882
1424433d48
1516545e10
hexe7f480c

243222540 has 96 divisors (see below), whose sum is σ = 745597440. Its totient is φ = 58752000.

The previous prime is 243222527. The next prime is 243222541. The reversal of 243222540 is 45222342.

It is a happy number.

243222540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

243222540 is a nontrivial binomial coefficient, being equal to C(22056, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 243222540.

It is not an unprimeable number, because it can be changed into a prime (243222541) 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, 264201 + ... + 265119.

It is an arithmetic number, because the mean of its divisors is an integer number (7766640).

Almost surely, 2243222540 is an apocalyptic number.

243222540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

243222540 is the 22055-th triangular number and also the 11028-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372798720).

243222540 is an abundant number, since it is smaller than the sum of its proper divisors (502374900).

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

243222540 is a wasteful number, since it uses less digits than its factorization.

243222540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 243222540 is about 15595.5936084524. The cubic root of 243222540 is about 624.2155833835.

Adding to 243222540 its reverse (45222342), we get a palindrome (288444882).

It can be divided in two parts, 24322 and 2540, that added together give a palindrome (26862).

The spelling of 243222540 in words is "two hundred forty-three million, two hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 401 660 802 919 1203 1604 1838 2005 2406 2757 3676 4010 4411 4595 4812 5514 6015 8020 8822 9190 10109 11028 12030 13233 13785 17644 18380 20218 22055 24060 26466 27570 30327 40436 44110 50545 52932 55140 60654 66165 88220 101090 121308 132330 151635 202180 264660 303270 368519 606540 737038 1105557 1474076 1842595 2211114 3685190 4053709 4422228 5527785 7370380 8107418 11055570 12161127 16214836 20268545 22111140 24322254 40537090 48644508 60805635 81074180 121611270 243222540