Search a number
-
+
2213132520 = 233518442771
BaseRepresentation
bin1000001111101001…
…1011100011101000
312201020101210002010
42003322123203220
514013030220040
61003335035520
7105562213254
oct20372334350
95636353063
102213132520
11a3628a245
1251920bba0
1329367bc91
1416dcd9264
15ce462e80
hex83e9b8e8

2213132520 has 32 divisors (see below), whose sum is σ = 6639397920. Its totient is φ = 590168640.

The previous prime is 2213132507. The next prime is 2213132549. The reversal of 2213132520 is 252313122.

2213132520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9221266 + ... + 9221505.

It is an arithmetic number, because the mean of its divisors is an integer number (207481185).

Almost surely, 22213132520 is an apocalyptic number.

2213132520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213132520 is an abundant number, since it is smaller than the sum of its proper divisors (4426265400).

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

2213132520 is a wasteful number, since it uses less digits than its factorization.

2213132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18442785 (or 18442781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2213132520 is about 47043.9424368324. The cubic root of 2213132520 is about 1303.1741998803.

Adding to 2213132520 its reverse (252313122), we get a palindrome (2465445642).

The spelling of 2213132520 in words is "two billion, two hundred thirteen million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18442771 36885542 55328313 73771084 92213855 110656626 147542168 184427710 221313252 276641565 368855420 442626504 553283130 737710840 1106566260 2213132520