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215152 = 24717113
BaseRepresentation
bin110100100001110000
3101221010121
4310201300
523341102
64340024
71554160
oct644160
9357117
10215152
11137713
12a4614
1376c12
14585a0
1543b37
hex34870

215152 has 40 divisors (see below), whose sum is σ = 508896. Its totient is φ = 86016.

The previous prime is 215143. The next prime is 215153. The reversal of 215152 is 251512.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215153) by changing a digit.

215152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1848 + ... + 1960.

2215152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

215152 is an abundant number, since it is smaller than the sum of its proper divisors (293744).

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

215152 is a wasteful number, since it uses less digits than its factorization.

215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 215152 is about 463.8448016309. The cubic root of 215152 is about 59.9213785042.

Adding to 215152 its reverse (251512), we get a palindrome (466664).

The spelling of 215152 in words is "two hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 113 119 136 226 238 272 452 476 791 904 952 1582 1808 1904 1921 3164 3842 6328 7684 12656 13447 15368 26894 30736 53788 107576 215152