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72240200 = 23526012
BaseRepresentation
bin1000100111001…
…00110001001000
312000221011220222
410103210301020
5121443141300
611100205212
71535013554
oct423446110
9160834828
1072240200
113786114a
1220239808
1311c743a6
149846864
15651e785
hex44e4c48

72240200 has 36 divisors (see below), whose sum is σ = 168238395. Its totient is φ = 28848000.

The previous prime is 72240187. The next prime is 72240241. The reversal of 72240200 is 204227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 52330756 + 19909444 = 7234^2 + 4462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119900 + ... + 120500.

Almost surely, 272240200 is an apocalyptic number.

It is an amenable number.

72240200 is an abundant number, since it is smaller than the sum of its proper divisors (95998195).

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

72240200 is an equidigital number, since it uses as much as digits as its factorization.

72240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 72240200 is about 8499.4235098623. The cubic root of 72240200 is about 416.4788771547.

Adding to 72240200 its reverse (204227), we get a palindrome (72444427).

It can be divided in two parts, 72240 and 200, that multiplied together give a triangular number (14448000 = T5375).

The spelling of 72240200 in words is "seventy-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601 1202 2404 3005 4808 6010 12020 15025 24040 30050 60100 120200 361201 722402 1444804 1806005 2889608 3612010 7224020 9030025 14448040 18060050 36120100 72240200