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215513148 = 223171139349
BaseRepresentation
bin11001101100001…
…11100000111100
3120000112012110110
430312013200330
5420132410043
633215110020
75224555134
oct1466074074
9500465413
10215513148
11100719244
1260212310
1335859396
142089dac4
1513dc0b33
hexcd8783c

215513148 has 48 divisors (see below), whose sum is σ = 537213600. Its totient is φ = 67006464.

The previous prime is 215513141. The next prime is 215513149. The reversal of 215513148 is 841315512.

215513148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215513141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18378 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (11191950).

Almost surely, 2215513148 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 215513148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268606800).

215513148 is an abundant number, since it is smaller than the sum of its proper divisors (321700452).

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

215513148 is a wasteful number, since it uses less digits than its factorization.

215513148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 9484 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 215513148 is about 14680.3660717300. The cubic root of 215513148 is about 599.5488720020.

The spelling of 215513148 in words is "two hundred fifteen million, five hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 9349 11526 18698 23052 28047 37396 56094 112188 158933 317866 476799 635732 953598 1056437 1907196 2112874 3169311 4225748 6338622 12677244 17959429 35918858 53878287 71837716 107756574 215513148