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215133152 = 2513587881
BaseRepresentation
bin11001101001010…
…10101111100000
3112222210220012112
430310222233200
5420033230102
633203014452
75221413233
oct1464525740
9488726175
10215133152
111004897a3
126006a428
1335755430
142080141a
1513d48252
hexcd2abe0

215133152 has 48 divisors (see below), whose sum is σ = 457419312. Its totient is φ = 99010560.

The previous prime is 215133151. The next prime is 215133167. The reversal of 215133152 is 251331512.

It is a happy number.

215133152 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 (215133151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243752 + ... + 244632.

It is an arithmetic number, because the mean of its divisors is an integer number (9529569).

Almost surely, 2215133152 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 215133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228709656).

215133152 is an abundant number, since it is smaller than the sum of its proper divisors (242286160).

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

215133152 is a wasteful number, since it uses less digits than its factorization.

215133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 215133152 is about 14667.4180413596. The cubic root of 215133152 is about 599.1962868523.

Adding to 215133152 its reverse (251331512), we get a palindrome (466464664).

The spelling of 215133152 in words is "two hundred fifteen million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 587 881 1174 1762 2348 3524 4696 7048 7631 9392 11453 14096 15262 18784 22906 28192 30524 45812 61048 91624 122096 183248 244192 366496 517147 1034294 2068588 4137176 6722911 8274352 13445822 16548704 26891644 53783288 107566576 215133152