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215200242 = 23229834967
BaseRepresentation
bin11001101001110…
…11000111110010
3112222221022020100
430310323013302
5420042401432
633204253230
75222112645
oct1464730762
9488838210
10215200242
11100525144
12600a1216
1335779b2a
142081ba5c
1513d5d07c
hexcd3b1f2

215200242 has 48 divisors (see below), whose sum is σ = 488255040. Its totient is φ = 68411616.

The previous prime is 215200241. The next prime is 215200243. The reversal of 215200242 is 242002512.

It is an interprime number because it is at equal distance from previous prime (215200241) and next prime (215200243).

It is a super-2 number, since 2×2152002422 = 92622288313717128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (215200241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40843 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (10171980).

Almost surely, 2215200242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215200242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244127520).

215200242 is an abundant number, since it is smaller than the sum of its proper divisors (273054798).

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

215200242 is a wasteful number, since it uses less digits than its factorization.

215200242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 215200242 is about 14669.7049050075. The cubic root of 215200242 is about 599.2585675072.

Adding to 215200242 its reverse (242002512), we get a palindrome (457202754).

The spelling of 215200242 in words is "two hundred fifteen million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 498 522 747 1494 2407 4814 4967 7221 9934 14442 14901 21663 29802 43326 44703 89406 144043 288086 412261 432129 824522 864258 1236783 1296387 2473566 2592774 3710349 7420698 11955569 23911138 35866707 71733414 107600121 215200242