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213141152 = 2573732551
BaseRepresentation
bin11001011010001…
…00011010100000
3112212001200200202
430231010122200
5414031004102
633052204332
75165445530
oct1455043240
9485050622
10213141152
11aa349114
125b4696a8
1335208833
14204434c0
1513aa2e02
hexcb446a0

213141152 has 48 divisors (see below), whose sum is σ = 481041792. Its totient is φ = 91065600.

The previous prime is 213141113. The next prime is 213141157. The reversal of 213141152 is 251141312.

It is not an unprimeable number, because it can be changed into a prime (213141157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82277 + ... + 84827.

It is an arithmetic number, because the mean of its divisors is an integer number (10021704).

Almost surely, 2213141152 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 213141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240520896).

213141152 is an abundant number, since it is smaller than the sum of its proper divisors (267900640).

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

213141152 is a wasteful number, since it uses less digits than its factorization.

213141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2933 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 213141152 is about 14599.3545062787. The cubic root of 213141152 is about 597.3411534814.

Adding to 213141152 its reverse (251141312), we get a palindrome (464282464).

The spelling of 213141152 in words is "two hundred thirteen million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2551 2611 2984 5102 5222 5968 10204 10444 11936 17857 20408 20888 35714 40816 41776 71428 81632 83552 142856 285712 571424 951523 1903046 3806092 6660661 7612184 13321322 15224368 26642644 30448736 53285288 106570576 213141152